72544527 has 24 divisors (see below), whose sum is σ = 120332160. Its totient is φ = 41651280.

The previous prime is 72544501. The next prime is 72544541.

It is a happy number.

72544527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72544527 - 2¹⁹ = 72020239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72544491 and 72544500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72544567) 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 23 ways as a sum of consecutive naturals, for example, 17403 + ... + 21164.

It is an arithmetic number, because the mean of its divisors is an integer number (5013840).

Almost surely, 2^72544527 is an apocalyptic number.

72544527 is a deficient number, since it is larger than the sum of its proper divisors (47787633).

72544527 is a wasteful number, since it uses less digits than its factorization.

72544527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38603 (or 38600 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 72544527 is about 8517.3074970909. The cubic root of 72544527 is about 417.0628927102.

It can be divided in two parts, 7254 and 4527, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 72544527 in words is "seventy-two million, five hundred forty-four thousand, five hundred twenty-seven".