72001427753520 has 60 divisors (see below), whose sum is σ = 241804794874656. Its totient is φ = 19200380734080.

The previous prime is 72001427753513. The next prime is 72001427753543. The reversal of 72001427753520 is 2535772410027.

72001427753520 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 1 + 4 + 2 + 77 + 53 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×72001427753520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50000990776 + ... + 50000992215.

Almost surely, 2^{72001427753520} is an apocalyptic number.

It is an amenable number.

72001427753520 is an abundant number, since it is smaller than the sum of its proper divisors (169803367121136).

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

72001427753520 is a wasteful number, since it uses less digits than its factorization.

72001427753520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100001983010 (or 100001983001 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 72001427753520 in words is "seventy-two trillion, one billion, four hundred twenty-seven million, seven hundred fifty-three thousand, five hundred twenty".