31007457072 has 60 divisors (see below), whose sum is σ = 89991818280. Its totient is φ = 10335817728.

The previous prime is 31007457067. The next prime is 31007457073. The reversal of 31007457072 is 27075470013.

31007457072 is a `hidden beast` number, since 3 + 10 + 0 + 7 + 4 + 570 + 72 = 666.

It is a super-2 number, since 2×31007457072² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (31007457073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3983697 + ... + 3991472.

It is an arithmetic number, because the mean of its divisors is an integer number (1499863638).

Almost surely, 2^31007457072 is an apocalyptic number.

It is an amenable number.

31007457072 is an abundant number, since it is smaller than the sum of its proper divisors (58984361208).

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

31007457072 is an equidigital number, since it uses as much as digits as its factorization.

31007457072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975192 (or 7975174 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 31007457072 in words is "thirty-one billion, seven million, four hundred fifty-seven thousand, seventy-two".