3972375 has 64 divisors (see below), whose sum is σ = 8087040. Its totient is φ = 1908000.

The previous prime is 3972359. The next prime is 3972377. The reversal of 3972375 is 5732793.

3972375 = 35³ + 36³ + ... + 64³.

It is a happy number.

It is not a de Polignac number, because 3972375 - 2⁴ = 3972359 is a prime.

Its product of digits (39690) is a multiple of the sum of its prime divisors (126).

3972375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37072 + ... + 37178.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

Almost surely, 2^3972375 is an apocalyptic number.

3972375 is an abundant number, since it is smaller than the sum of its proper divisors (4114665).

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

3972375 is a wasteful number, since it uses less digits than its factorization.

3972375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 3972375 is about 1993.0817845738. The cubic root of 3972375 is about 158.3738277465.

It can be divided in two parts, 397 and 2375, that added together give a palindrome (2772).

The spelling of 3972375 in words is "three million, nine hundred seventy-two thousand, three hundred seventy-five".