372960 has 144 divisors (see below), whose sum is σ = 1493856. Its totient is φ = 82944.

The previous prime is 372943. The next prime is 372971. The reversal of 372960 is 69273.

372960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

372960 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 23 ways as a sum of consecutive naturals, for example, 10062 + ... + 10098.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2³⁷²⁹⁶⁰ is an apocalyptic number.

372960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928).

372960 is an abundant number, since it is smaller than the sum of its proper divisors (1120896).

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

372960 is a wasteful number, since it uses less digits than its factorization.

372960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 372960 is about 610.7045112000. The cubic root of 372960 is about 71.9814767164.

The spelling of 372960 in words is "three hundred seventy-two thousand, nine hundred sixty".