368072 has 16 divisors (see below), whose sum is σ = 697200. Its totient is φ = 182160.

The previous prime is 368059. The next prime is 368077. The reversal of 368072 is 270863.

368072 = T₁₆₃ + T₁₆₄ + ... + T₁₈₆.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (368077) by changing a digit.

368072 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, 947 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (43575).

2³⁶⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

368072 is a deficient number, since it is larger than the sum of its proper divisors (329128).

368072 is a wasteful number, since it uses less digits than its factorization.

368072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 368072 is about 606.6893768643. The cubic root of 368072 is about 71.6656306563.

The spelling of 368072 in words is "three hundred sixty-eight thousand, seventy-two".