72676408 has 48 divisors (see below), whose sum is σ = 159255720. Its totient is φ = 31002048.

The previous prime is 72676403. The next prime is 72676423. The reversal of 72676408 is 80467627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72676403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155391 + ... + 155857.

Almost surely, 2^72676408 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 72676408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79627860).

72676408 is an abundant number, since it is smaller than the sum of its proper divisors (86579312).

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

72676408 is a wasteful number, since it uses less digits than its factorization.

72676408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 72676408 is about 8525.0459236300. The cubic root of 72676408 is about 417.3154703425.

The spelling of 72676408 in words is "seventy-two million, six hundred seventy-six thousand, four hundred eight".