31972560 has 80 divisors (see below), whose sum is σ = 100172160. Its totient is φ = 8435200.

The previous prime is 31972543. The next prime is 31972561. The reversal of 31972560 is 6527913.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31972561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23581 + ... + 24899.

It is an arithmetic number, because the mean of its divisors is an integer number (1252152).

Almost surely, 2^31972560 is an apocalyptic number.

31972560 is a gapful number since it is divisible by the number (30) 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 31972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

31972560 is an abundant number, since it is smaller than the sum of its proper divisors (68199600).

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

31972560 is a wasteful number, since it uses less digits than its factorization.

31972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 31972560 is about 5654.4283530698. The cubic root of 31972560 is about 317.3894380161.

The spelling of 31972560 in words is "thirty-one million, nine hundred seventy-two thousand, five hundred sixty".