75372 has 24 divisors (see below), whose sum is σ = 192192. Its totient is φ = 22800.

The previous prime is 75367. The next prime is 75377. The reversal of 75372 is 27357.

It is an interprime number because it is at equal distance from previous prime (75367) and next prime (75377).

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75372.

It is not an unprimeable number, because it can be changed into a prime (75377) by changing a digit.

75372 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 7 ways as a sum of consecutive naturals, for example, 154 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2⁷⁵³⁷² is an apocalyptic number.

It is an amenable number.

75372 is an abundant number, since it is smaller than the sum of its proper divisors (116820).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096).

75372 is a wasteful number, since it uses less digits than its factorization.

75372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

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

The square root of 75372 is about 274.5396146278. The cubic root of 75372 is about 42.2412420721.

The spelling of 75372 in words is "seventy-five thousand, three hundred seventy-two".