72456981293430 has 48 divisors (see below), whose sum is σ = 189588075930864. Its totient is φ = 19198792491840.

The previous prime is 72456981293407. The next prime is 72456981293441. The reversal of 72456981293430 is 3439218965427.

72456981293430 is a `hidden beast` number, since 7 + 2 + 4 + 569 + 8 + 1 + 2 + 9 + 34 + 30 = 666.

It is a super-2 number, since 2×72456981293430² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2563927176 + ... + 2563955435.

It is an arithmetic number, because the mean of its divisors is an integer number (3949751581893).

It is a 1-persistent number, because it is pandigital, but 2⋅72456981293430 = 144913962586860 is not.

Almost surely, 2^{72456981293430} is an apocalyptic number.

72456981293430 is an abundant number, since it is smaller than the sum of its proper divisors (117131094637434).

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

72456981293430 is a wasteful number, since it uses less digits than its factorization.

72456981293430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127882781 (or 5127882778 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 72456981293430 in words is "seventy-two trillion, four hundred fifty-six billion, nine hundred eighty-one million, two hundred ninety-three thousand, four hundred thirty".