372096 has 96 divisors (see below), whose sum is σ = 1193400. Its totient is φ = 110592.

The previous prime is 372067. The next prime is 372107. The reversal of 372096 is 690273.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

372096 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 11 ways as a sum of consecutive naturals, for example, 19575 + ... + 19593.

2³⁷²⁰⁹⁶ is an apocalyptic number.

372096 is a gapful number since it is divisible by the number (36) 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 372096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596700).

372096 is an abundant number, since it is smaller than the sum of its proper divisors (821304).

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

372096 is a wasteful number, since it uses less digits than its factorization.

372096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

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

The square root of 372096 is about 609.9967213027. The cubic root of 372096 is about 71.9258495871.

The spelling of 372096 in words is "three hundred seventy-two thousand, ninety-six".