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72049340 = 225112329491
BaseRepresentation
bin1000100101101…
…10001010111100
312000120111010002
410102312022330
5121421034330
611052133432
71533260246
oct422661274
9160514102
1072049340
1137740810
1220167278
1311c0855c
1497d7096
1564d2e45
hex44b62bc

72049340 has 96 divisors (see below), whose sum is σ = 178536960. Its totient is φ = 24147200.

The previous prime is 72049339. The next prime is 72049379. The reversal of 72049340 is 4394027.

72049340 = T338 + T339 + ... + T777.

It is a super-2 number, since 2×720493402 = 10382214788871200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146495 + ... + 146985.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760).

Almost surely, 272049340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72049340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89268480).

72049340 is an abundant number, since it is smaller than the sum of its proper divisors (106487620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72049340 is a wasteful number, since it uses less digits than its factorization.

72049340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 72049340 is about 8488.1882636992. The cubic root of 72049340 is about 416.1117719262. Note that the first 3 decimals are identical.

The spelling of 72049340 in words is "seventy-two million, forty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 491 506 580 638 667 982 1012 1265 1276 1334 1595 1964 2455 2530 2668 3190 3335 4910 5060 5401 6380 6670 7337 9820 10802 11293 13340 14239 14674 21604 22586 27005 28478 29348 36685 45172 54010 56465 56956 71195 73370 108020 112930 124223 142390 146740 156629 225860 248446 284780 313258 327497 496892 621115 626516 654994 783145 1242230 1309988 1566290 1637485 2484460 3132580 3274970 3602467 6549940 7204934 14409868 18012335 36024670 72049340