72130608 has 160 divisors (see below), whose sum is σ = 231770880. Its totient is φ = 21288960.

The previous prime is 72130579. The next prime is 72130613. The reversal of 72130608 is 80603127.

72130608 is a `hidden beast` number, since 7 + 21 + 30 + 608 = 666.

It is a super-2 number, since 2×72130608² = 10405649220899328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204160 + ... + 204512.

It is an arithmetic number, because the mean of its divisors is an integer number (1448568).

Almost surely, 2^72130608 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 72130608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115885440).

72130608 is an abundant number, since it is smaller than the sum of its proper divisors (159640272).

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

72130608 is a wasteful number, since it uses less digits than its factorization.

72130608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

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

The square root of 72130608 is about 8492.9740374029. The cubic root of 72130608 is about 416.2681641290.

It can be divided in two parts, 721 and 30608, that added together give a square (31329 = 177²).

The spelling of 72130608 in words is "seventy-two million, one hundred thirty thousand, six hundred eight".