96372 has 18 divisors (see below), whose sum is σ = 243698. Its totient is φ = 32112.

The previous prime is 96353. The next prime is 96377. The reversal of 96372 is 27369.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 41616 = 234^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (96377) by changing a digit.

96372 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 5 ways as a sum of consecutive naturals, for example, 1303 + ... + 1374.

2⁹⁶³⁷² is an apocalyptic number.

It is an amenable number.

96372 is an abundant number, since it is smaller than the sum of its proper divisors (147326).

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

96372 is a wasteful number, since it uses less digits than its factorization.

96372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2682 counting only the distinct ones).

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

The square root of 96372 is about 310.4383996866. The cubic root of 96372 is about 45.8476370416.

It can be divided in two parts, 963 and 72, that added together give a triangular number (1035 = T₄₅).

The spelling of 96372 in words is "ninety-six thousand, three hundred seventy-two".