31972752 has 160 divisors (see below), whose sum is σ = 106937600. Its totient is φ = 8957952.

The previous prime is 31972741. The next prime is 31972753. The reversal of 31972752 is 25727913.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31972753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293274 + ... + 293382.

It is an arithmetic number, because the mean of its divisors is an integer number (668360).

Almost surely, 2^31972752 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 31972752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53468800).

31972752 is an abundant number, since it is smaller than the sum of its proper divisors (74964848).

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

31972752 is a wasteful number, since it uses less digits than its factorization.

31972752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 31972752 is about 5654.4453308879. The cubic root of 31972752 is about 317.3900733385.

The spelling of 31972752 in words is "thirty-one million, nine hundred seventy-two thousand, seven hundred fifty-two".