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72294040 = 23571319861
BaseRepresentation
bin1000100111100…
…01111010011000
312001000220210001
410103301322120
5122001402130
611101302344
71535326540
oct423617230
9161026701
1072294040
1137898645
12202649b4
1311c92a50
14985c320
1565306ca
hex44f1e98

72294040 has 64 divisors (see below), whose sum is σ = 200208960. Its totient is φ = 22878720.

The previous prime is 72294011. The next prime is 72294043. The reversal of 72294040 is 4049227.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72294043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6291 + ... + 13570.

It is an arithmetic number, because the mean of its divisors is an integer number (3128265).

Almost surely, 272294040 is an apocalyptic number.

72294040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72294040 is an abundant number, since it is smaller than the sum of its proper divisors (127914920).

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

72294040 is a wasteful number, since it uses less digits than its factorization.

72294040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19892 (or 19888 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72294040 is about 8502.5901935822. The cubic root of 72294040 is about 416.5823175035.

The spelling of 72294040 in words is "seventy-two million, two hundred ninety-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 19861 39722 79444 99305 139027 158888 198610 258193 278054 397220 516386 556108 695135 794440 1032772 1112216 1290965 1390270 1807351 2065544 2581930 2780540 3614702 5163860 5561080 7229404 9036755 10327720 14458808 18073510 36147020 72294040