32972436 has 36 divisors (see below), whose sum is σ = 95254432. Its totient is φ = 9420624.

The previous prime is 32972419. The next prime is 32972441. The reversal of 32972436 is 63427923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 32972436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65170 + ... + 65673.

Almost surely, 2^32972436 is an apocalyptic number.

32972436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32972436 is an abundant number, since it is smaller than the sum of its proper divisors (62281996).

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

32972436 is a wasteful number, since it uses less digits than its factorization.

32972436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130860 (or 130855 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 32972436 is about 5742.1630070906. The cubic root of 32972436 is about 320.6641025916.

The spelling of 32972436 in words is "thirty-two million, nine hundred seventy-two thousand, four hundred thirty-six".