72527535 has 16 divisors (see below), whose sum is σ = 128938080. Its totient is φ = 38681280.

The previous prime is 72527531. The next prime is 72527537. The reversal of 72527535 is 53572527.

It is a happy number.

72527535 is a `hidden beast` number, since 72 + 52 + 7 + 535 = 666.

It is not a de Polignac number, because 72527535 - 2² = 72527531 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72527535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72527531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268486 + ... + 268755.

It is an arithmetic number, because the mean of its divisors is an integer number (8058630).

Almost surely, 2^72527535 is an apocalyptic number.

72527535 is a deficient number, since it is larger than the sum of its proper divisors (56410545).

72527535 is a wasteful number, since it uses less digits than its factorization.

72527535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537255 (or 537249 counting only the distinct ones).

The product of its digits is 73500, while the sum is 36.

The square root of 72527535 is about 8516.3099403439. The cubic root of 72527535 is about 417.0303274874.

The spelling of 72527535 in words is "seventy-two million, five hundred twenty-seven thousand, five hundred thirty-five".