32972072 has 64 divisors (see below), whose sum is σ = 74304000. Its totient is φ = 13418496.

The previous prime is 32972059. The next prime is 32972083. The reversal of 32972072 is 27027923.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128168 + ... + 128424.

It is an arithmetic number, because the mean of its divisors is an integer number (1161000).

Almost surely, 2^32972072 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 32972072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37152000).

32972072 is an abundant number, since it is smaller than the sum of its proper divisors (41331928).

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

32972072 is a wasteful number, since it uses less digits than its factorization.

32972072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 32972072 is about 5742.1313116299. The cubic root of 32972072 is about 320.6629225943.

Adding to 32972072 its reverse (27027923), we get a palindrome (59999995).

The spelling of 32972072 in words is "thirty-two million, nine hundred seventy-two thousand, seventy-two".