31964072 has 48 divisors (see below), whose sum is σ = 70735860. Its totient is φ = 13499136.

The previous prime is 31964039. The next prime is 31964077. The reversal of 31964072 is 27046913.

It can be written as a sum of positive squares in 2 ways, for example, as 29964676 + 1999396 = 5474^2 + 1414^2 .

It is not an unprimeable number, because it can be changed into a prime (31964077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28058 + ... + 29174.

Almost surely, 2^31964072 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 31964072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35367930).

31964072 is an abundant number, since it is smaller than the sum of its proper divisors (38771788).

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

31964072 is a wasteful number, since it uses less digits than its factorization.

31964072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 31964072 is about 5653.6777410815. The cubic root of 31964072 is about 317.3613489299.

The spelling of 31964072 in words is "thirty-one million, nine hundred sixty-four thousand, seventy-two".