72524407 has 8 divisors (see below), whose sum is σ = 75055232. Its totient is φ = 70005600.

The previous prime is 72524401. The next prime is 72524429. The reversal of 72524407 is 70442527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72524407 - 2³ = 72524399 is a prime.

It is a super-2 number, since 2×72524407² = 10519579221403298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72524401) 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 7 ways as a sum of consecutive naturals, for example, 10273 + ... + 15829.

It is an arithmetic number, because the mean of its divisors is an integer number (9381904).

Almost surely, 2^72524407 is an apocalyptic number.

72524407 is a deficient number, since it is larger than the sum of its proper divisors (2530825).

72524407 is a wasteful number, since it uses less digits than its factorization.

72524407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009.

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 72524407 is about 8516.1262907498. The cubic root of 72524407 is about 417.0243321110.

The spelling of 72524407 in words is "seventy-two million, five hundred twenty-four thousand, four hundred seven".