31087072 has 48 divisors (see below), whose sum is σ = 64033200. Its totient is φ = 14837760.

The previous prime is 31087057. The next prime is 31087087. The reversal of 31087072 is 27078013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31087057) and next prime (31087087).

It is a self number, because there is not a number n which added to its sum of digits gives 31087072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128872 + ... + 129112.

It is an arithmetic number, because the mean of its divisors is an integer number (1334025).

Almost surely, 2^31087072 is an apocalyptic number.

31087072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31087072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32016600).

31087072 is an abundant number, since it is smaller than the sum of its proper divisors (32946128).

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

31087072 is a wasteful number, since it uses less digits than its factorization.

31087072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 31087072 is about 5575.5781762971. The cubic root of 31087072 is about 314.4319045981.

It can be divided in two parts, 3 and 1087072, that added together give a triangular number (1087075 = T₁₄₇₄).

The spelling of 31087072 in words is "thirty-one million, eighty-seven thousand, seventy-two".