375072 has 24 divisors (see below), whose sum is σ = 984816. Its totient is φ = 124992.

The previous prime is 375059. The next prime is 375083. The reversal of 375072 is 270573.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an unprimeable number.

375072 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, 1858 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (41034).

2³⁷⁵⁰⁷² is an apocalyptic number.

375072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

375072 is an abundant number, since it is smaller than the sum of its proper divisors (609744).

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

375072 is a wasteful number, since it uses less digits than its factorization.

375072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 375072 is about 612.4312206281. The cubic root of 375072 is about 72.1170934187.

The spelling of 375072 in words is "three hundred seventy-five thousand, seventy-two".