31249872 has 120 divisors (see below), whose sum is σ = 92077440. Its totient is φ = 9884160.

The previous prime is 31249843. The next prime is 31249901. The reversal of 31249872 is 27894213.

It is an interprime number because it is at equal distance from previous prime (31249843) and next prime (31249901).

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (192).

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, 395529 + ... + 395607.

It is an arithmetic number, because the mean of its divisors is an integer number (767312).

It is a vampire number, since it can be written as 3792 ⋅ 8241 (with its own digits).

Almost surely, 2^31249872 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 31249872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46038720).

31249872 is an abundant number, since it is smaller than the sum of its proper divisors (60827568).

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

31249872 is a wasteful number, since it uses less digits than its factorization.

31249872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 31249872 is about 5590.1584950697. The cubic root of 31249872 is about 314.9798324201.

It can be divided in two parts, 3124 and 9872, that added together give a square (12996 = 114²).

The spelling of 31249872 in words is "thirty-one million, two hundred forty-nine thousand, eight hundred seventy-two".