367972 has 12 divisors (see below), whose sum is σ = 702576. Its totient is φ = 167240.

The previous prime is 367957. The next prime is 368021. The reversal of 367972 is 279763.

It is an unprimeable number.

367972 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 3 ways as a sum of consecutive naturals, for example, 4138 + ... + 4225.

It is an arithmetic number, because the mean of its divisors is an integer number (58548).

2³⁶⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

367972 is a deficient number, since it is larger than the sum of its proper divisors (334604).

367972 is a wasteful number, since it uses less digits than its factorization.

367972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378 (or 8376 counting only the distinct ones).

The product of its digits is 15876, while the sum is 34.

The square root of 367972 is about 606.6069567685. The cubic root of 367972 is about 71.6591398862.

Subtracting from 367972 its reverse (279763), we obtain a square (88209 = 297²).

It can be divided in two parts, 36 and 7972, that added together give a palindrome (8008).

The spelling of 367972 in words is "three hundred sixty-seven thousand, nine hundred seventy-two".