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72496532128 = 252398500723
BaseRepresentation
bin100001110000100100…
…0010100101010100000
320221010102000102010111
41003201020110222200
52141433103012003
653145432141104
75144350232656
oct1034110245240
9227112012114
1072496532128
1128822447669
1212072b37794
136ab47314b7
14371a402dd6
151d448a3e6d
hex10e1214aa0

72496532128 has 24 divisors (see below), whose sum is σ = 148933094688. Its totient is φ = 34672254144.

The previous prime is 72496532111. The next prime is 72496532149. The reversal of 72496532128 is 82123569427.

It is a happy number.

It is a super-2 number, since 2×724965321282 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49249626 + ... + 49251097.

It is an arithmetic number, because the mean of its divisors is an integer number (6205545612).

Almost surely, 272496532128 is an apocalyptic number.

It is an amenable number.

72496532128 is an abundant number, since it is smaller than the sum of its proper divisors (76436562560).

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

72496532128 is a wasteful number, since it uses less digits than its factorization.

72496532128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98500756 (or 98500748 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The spelling of 72496532128 in words is "seventy-two billion, four hundred ninety-six million, five hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 98500723 197001446 394002892 788005784 1576011568 2265516629 3152023136 4531033258 9062066516 18124133032 36248266064 72496532128