372072 has 32 divisors (see below), whose sum is σ = 957600. Its totient is φ = 120384.

The previous prime is 372067. The next prime is 372107. The reversal of 372072 is 270273.

It is an unprimeable number.

372072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2³⁷²⁰⁷² 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 372072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

372072 is an abundant number, since it is smaller than the sum of its proper divisors (585528).

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

372072 is a wasteful number, since it uses less digits than its factorization.

372072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 372072 is about 609.9770487486. The cubic root of 372072 is about 71.9243031604.

The spelling of 372072 in words is "three hundred seventy-two thousand, seventy-two", and thus it is an iban number.