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72550740 = 223519232767
BaseRepresentation
bin1000101001100…
…00100101010100
312001111221220110
410110300211110
5122033110430
611111003020
71540446123
oct424604524
9161457813
1072550740
1137a53499
1220369470
1312052842
1498c7aba
1565817b0
hex4530954

72550740 has 96 divisors (see below), whose sum is σ = 223211520. Its totient is φ = 17525376.

The previous prime is 72550739. The next prime is 72550769. The reversal of 72550740 is 4705527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72550698 and 72550707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24837 + ... + 27603.

It is an arithmetic number, because the mean of its divisors is an integer number (2325120).

Almost surely, 272550740 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 72550740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111605760).

72550740 is an abundant number, since it is smaller than the sum of its proper divisors (150660780).

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

72550740 is a wasteful number, since it uses less digits than its factorization.

72550740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 72550740 is about 8517.6722172199. The cubic root of 72550740 is about 417.0747986751.

The spelling of 72550740 in words is "seventy-two million, five hundred fifty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 2767 4370 5244 5534 6555 8301 8740 11068 13110 13835 16602 26220 27670 33204 41505 52573 55340 63641 83010 105146 127282 157719 166020 190923 210292 254564 262865 315438 318205 381846 525730 630876 636410 763692 788595 954615 1051460 1209179 1272820 1577190 1909230 2418358 3154380 3627537 3818460 4836716 6045895 7255074 12091790 14510148 18137685 24183580 36275370 72550740