78372 has 36 divisors (see below), whose sum is σ = 227136. Its totient is φ = 22320.

The previous prime is 78367. The next prime is 78401. The reversal of 78372 is 27387.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×78372² = 12284340768, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78372.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97 + ... + 407.

2⁷⁸³⁷² 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 78372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113568).

78372 is an abundant number, since it is smaller than the sum of its proper divisors (148764).

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

78372 is a wasteful number, since it uses less digits than its factorization.

78372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 78372 is about 279.9499955349. The cubic root of 78372 is about 42.7944034374.

The spelling of 78372 in words is "seventy-eight thousand, three hundred seventy-two".