72024525 has 24 divisors (see below), whose sum is σ = 132312960. Its totient is φ = 38412720.

The previous prime is 72024503. The next prime is 72024553. The reversal of 72024525 is 52542027.

72024525 is a `hidden beast` number, since 7 + 202 + 452 + 5 = 666.

It is not a de Polignac number, because 72024525 - 2⁵ = 72024493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52677 + ... + 54026.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2^72024525 is an apocalyptic number.

72024525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72024525 is a deficient number, since it is larger than the sum of its proper divisors (60288435).

72024525 is a wasteful number, since it uses less digits than its factorization.

72024525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106722 (or 106711 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 72024525 is about 8486.7264006801. The cubic root of 72024525 is about 416.0639944850.

The spelling of 72024525 in words is "seventy-two million, twenty-four thousand, five hundred twenty-five".