7972575 has 72 divisors (see below), whose sum is σ = 15521328. Its totient is φ = 3594240.

The previous prime is 7972553. The next prime is 7972577. The reversal of 7972575 is 5752797.

It is not a de Polignac number, because 7972575 - 2⁶ = 7972511 is a prime.

Its product of digits (154350) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972577) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215457 + ... + 215493.

It is an arithmetic number, because the mean of its divisors is an integer number (215574).

Almost surely, 2^7972575 is an apocalyptic number.

7972575 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7972575 is a deficient number, since it is larger than the sum of its proper divisors (7548753).

7972575 is a wasteful number, since it uses less digits than its factorization.

7972575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its digits is 154350, while the sum is 42.

The square root of 7972575 is about 2823.5748617666. The cubic root of 7972575 is about 199.7711966784.

It can be divided in two parts, 79725 and 75, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 7972575 in words is "seven million, nine hundred seventy-two thousand, five hundred seventy-five".