372896 has 24 divisors (see below), whose sum is σ = 753984. Its totient is φ = 181440.

The previous prime is 372881. The next prime is 372901. The reversal of 372896 is 698273.

Its product of digits (18144) is a multiple of the sum of its prime factors (324).

It is an unprimeable number.

372896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1241 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (31416).

2³⁷²⁸⁹⁶ 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 372896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376992).

372896 is an abundant number, since it is smaller than the sum of its proper divisors (381088).

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

372896 is a wasteful number, since it uses less digits than its factorization.

372896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 372896 is about 610.6521104524. The cubic root of 372896 is about 71.9773591363.

The spelling of 372896 in words is "three hundred seventy-two thousand, eight hundred ninety-six".