32372640 has 72 divisors (see below), whose sum is σ = 110476548. Its totient is φ = 8632320.

The previous prime is 32372633. The next prime is 32372677. The reversal of 32372640 is 4627323.

It can be written as a sum of positive squares in 2 ways, for example, as 28259856 + 4112784 = 5316^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 9801 + ... + 12680.

Almost surely, 2^32372640 is an apocalyptic number.

32372640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32372640 is an abundant number, since it is smaller than the sum of its proper divisors (78103908).

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

32372640 is a wasteful number, since it uses less digits than its factorization.

32372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22502 (or 22491 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 32372640 is about 5689.6959496971. The cubic root of 32372640 is about 318.7078098715.

Adding to 32372640 its reverse (4627323), we get a palindrome (36999963).

The spelling of 32372640 in words is "thirty-two million, three hundred seventy-two thousand, six hundred forty".