72301608 has 48 divisors (see below), whose sum is σ = 197383680. Its totient is φ = 23907744.

The previous prime is 72301597. The next prime is 72301633. The reversal of 72301608 is 80610327.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5191 + ... + 13097.

It is an arithmetic number, because the mean of its divisors is an integer number (4112160).

Almost surely, 2^72301608 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 72301608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98691840).

72301608 is an abundant number, since it is smaller than the sum of its proper divisors (125082072).

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

72301608 is a wasteful number, since it uses less digits than its factorization.

72301608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72301608 is about 8503.0352227896. The cubic root of 72301608 is about 416.5968534411.

The spelling of 72301608 in words is "seventy-two million, three hundred one thousand, six hundred eight".