32972448 has 48 divisors (see below), whose sum is σ = 91113120. Its totient is φ = 10411776.

The previous prime is 32972441. The next prime is 32972461. The reversal of 32972448 is 84427923.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×32972448² = 2174364654225408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32972441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7215 + ... + 10862.

It is an arithmetic number, because the mean of its divisors is an integer number (1898190).

Almost surely, 2^32972448 is an apocalyptic number.

32972448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

32972448 is an abundant number, since it is smaller than the sum of its proper divisors (58140672).

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

32972448 is a wasteful number, since it uses less digits than its factorization.

32972448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18109 (or 18101 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 32972448 is about 5742.1640519929. The cubic root of 32972448 is about 320.6641414925.

The spelling of 32972448 in words is "thirty-two million, nine hundred seventy-two thousand, four hundred forty-eight".