31077072 has 90 divisors (see below), whose sum is σ = 94251222. Its totient is φ = 9554688.

The previous prime is 31077043. The next prime is 31077107. The reversal of 31077072 is 27077013.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 30869136 = 456^2 + 5556^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23698 + ... + 24974.

Almost surely, 2^31077072 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 31077072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47125611).

31077072 is an abundant number, since it is smaller than the sum of its proper divisors (63174150).

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

31077072 is a wasteful number, since it uses less digits than its factorization.

31077072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 31077072 is about 5574.6813361842. The cubic root of 31077072 is about 314.3981857984.

The spelling of 31077072 in words is "thirty-one million, seventy-seven thousand, seventy-two".