72358688 has 48 divisors (see below), whose sum is σ = 152490240. Its totient is φ = 33696000.

The previous prime is 72358679. The next prime is 72358697. The reversal of 72358688 is 88685327.

It is an interprime number because it is at equal distance from previous prime (72358679) and next prime (72358697).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36113 + ... + 38063.

It is an arithmetic number, because the mean of its divisors is an integer number (3176880).

Almost surely, 2^72358688 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 72358688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76245120).

72358688 is an abundant number, since it is smaller than the sum of its proper divisors (80131552).

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

72358688 is a wasteful number, since it uses less digits than its factorization.

72358688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2033 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 72358688 is about 8506.3910091178. The cubic root of 72358688 is about 416.7064549382.

The spelling of 72358688 in words is "seventy-two million, three hundred fifty-eight thousand, six hundred eighty-eight".