72331308 has 144 divisors (see below), whose sum is σ = 221405184. Its totient is φ = 19474560.

The previous prime is 72331267. The next prime is 72331327. The reversal of 72331308 is 80313327.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367066 + ... + 367262.

It is an arithmetic number, because the mean of its divisors is an integer number (1537536).

Almost surely, 2^72331308 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 72331308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592).

72331308 is an abundant number, since it is smaller than the sum of its proper divisors (149073876).

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

72331308 is a wasteful number, since it uses less digits than its factorization.

72331308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72331308 is about 8504.7814786742. The cubic root of 72331308 is about 416.6538887459.

The spelling of 72331308 in words is "seventy-two million, three hundred thirty-one thousand, three hundred eight".