72135408 has 40 divisors (see below), whose sum is σ = 188283088. Its totient is φ = 23795712.

The previous prime is 72135407. The next prime is 72135409. The reversal of 72135408 is 80453127.

It is an interprime number because it is at equal distance from previous prime (72135407) and next prime (72135409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72135407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3091 + ... + 12402.

Almost surely, 2^72135408 is an apocalyptic number.

It is an amenable number.

72135408 is an abundant number, since it is smaller than the sum of its proper divisors (116147680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72135408 is a wasteful number, since it uses less digits than its factorization.

72135408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15601 (or 15595 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 72135408 is about 8493.2566192245. The cubic root of 72135408 is about 416.2773975780.

It can be divided in two parts, 7213 and 5408, that added together give a palindrome (12621).

The spelling of 72135408 in words is "seventy-two million, one hundred thirty-five thousand, four hundred eight".