72401588 has 24 divisors (see below), whose sum is σ = 145330752. Its totient is φ = 30916224.

The previous prime is 72401587. The next prime is 72401597. The reversal of 72401588 is 88510427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72401587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3356 + ... + 12492.

It is an arithmetic number, because the mean of its divisors is an integer number (6055448).

Almost surely, 2^72401588 is an apocalyptic number.

It is an amenable number.

72401588 is an abundant number, since it is smaller than the sum of its proper divisors (72929164).

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

72401588 is a wasteful number, since it uses less digits than its factorization.

72401588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9429 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 72401588 is about 8508.9122689096. The cubic root of 72401588 is about 416.7887909399.

The spelling of 72401588 in words is "seventy-two million, four hundred one thousand, five hundred eighty-eight".