72535268 has 12 divisors (see below), whose sum is σ = 136701180. Its totient is φ = 33477792.

The previous prime is 72535219. The next prime is 72535279. The reversal of 72535268 is 86253527.

It can be written as a sum of positive squares in 2 ways, for example, as 45265984 + 27269284 = 6728^2 + 5222^2 .

It is a super-2 number, since 2×72535268² = 10522730207663648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 697403 + ... + 697506.

It is an arithmetic number, because the mean of its divisors is an integer number (11391765).

Almost surely, 2^72535268 is an apocalyptic number.

It is an amenable number.

72535268 is a deficient number, since it is larger than the sum of its proper divisors (64165912).

72535268 is a wasteful number, since it uses less digits than its factorization.

72535268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394926 (or 1394924 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 72535268 is about 8516.7639394315. The cubic root of 72535268 is about 417.0451484374.

It can be divided in two parts, 7253 and 5268, that added together give a palindrome (12521).

The spelling of 72535268 in words is "seventy-two million, five hundred thirty-five thousand, two hundred sixty-eight".