32760972 has 72 divisors (see below), whose sum is σ = 88452000. Its totient is φ = 10188288.

The previous prime is 32760971. The next prime is 32760983. The reversal of 32760972 is 27906723.

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

It is not an unprimeable number, because it can be changed into a prime (32760971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121654 + ... + 121922.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^32760972 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 32760972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226000).

32760972 is an abundant number, since it is smaller than the sum of its proper divisors (55691028).

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

32760972 is a wasteful number, since it uses less digits than its factorization.

32760972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 32760972 is about 5723.7201189436. The cubic root of 32760972 is about 319.9771207601.

The spelling of 32760972 in words is "thirty-two million, seven hundred sixty thousand, nine hundred seventy-two".