72522527 has 24 divisors (see below), whose sum is σ = 96078720. Its totient is φ = 53170560.

The previous prime is 72522521. The next prime is 72522529.

72522527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72522527 - 2¹⁰ = 72521503 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72522493 and 72522502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72522521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20624 + ... + 23882.

It is an arithmetic number, because the mean of its divisors is an integer number (4003280).

Almost surely, 2^72522527 is an apocalyptic number.

72522527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72522527 is a deficient number, since it is larger than the sum of its proper divisors (23556193).

72522527 is a wasteful number, since it uses less digits than its factorization.

72522527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3294 counting only the distinct ones).

The product of its digits is 19600, while the sum is 32.

The square root of 72522527 is about 8516.0159112111. The cubic root of 72522527 is about 417.0207286688.

It can be divided in two parts, 7252 and 2527, that added together give a palindrome (9779).

The spelling of 72522527 in words is "seventy-two million, five hundred twenty-two thousand, five hundred twenty-seven".