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272500072 = 231317791951
BaseRepresentation
bin10000001111100…
…000010101101000
3200222202102211021
4100033200111220
51024230000242
643012342224
76516132565
oct2017402550
9628672737
10272500072
1112a901379
1277314974
13445bca60
142829586c
1518dcab67
hex103e0568

272500072 has 64 divisors (see below), whose sum is σ = 590284800. Its totient is φ = 116812800.

The previous prime is 272500061. The next prime is 272500087. The reversal of 272500072 is 270005272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138697 + ... + 140647.

It is an arithmetic number, because the mean of its divisors is an integer number (9223200).

Almost surely, 2272500072 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 272500072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295142400).

272500072 is an abundant number, since it is smaller than the sum of its proper divisors (317784728).

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

272500072 is a wasteful number, since it uses less digits than its factorization.

272500072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 272500072 is about 16507.5762000362. The cubic root of 272500072 is about 648.3191855867.

The spelling of 272500072 in words is "two hundred seventy-two million, five hundred thousand, seventy-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 79 104 136 158 221 316 442 632 884 1027 1343 1768 1951 2054 2686 3902 4108 5372 7804 8216 10744 15608 17459 25363 33167 34918 50726 66334 69836 101452 132668 139672 154129 202904 265336 308258 431171 616516 862342 1233032 1724684 2003677 2620193 3449368 4007354 5240386 8014708 10480772 16029416 20961544 34062509 68125018 136250036 272500072