72408408 has 64 divisors (see below), whose sum is σ = 188628960. Its totient is φ = 23141376.

The previous prime is 72408407. The next prime is 72408409. The reversal of 72408408 is 80480427.

It is an interprime number because it is at equal distance from previous prime (72408407) and next prime (72408409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72408407) 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, 64266 + ... + 65382.

Almost surely, 2^72408408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72408408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94314480).

72408408 is an abundant number, since it is smaller than the sum of its proper divisors (116220552).

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

72408408 is a wasteful number, since it uses less digits than its factorization.

72408408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 72408408 is about 8509.3130157493. The cubic root of 72408408 is about 416.8018772565.

The spelling of 72408408 in words is "seventy-two million, four hundred eight thousand, four hundred eight".