72000588 has 48 divisors (see below), whose sum is σ = 184262400. Its totient is φ = 21700800.

The previous prime is 72000587. The next prime is 72000601. The reversal of 72000588 is 88500027.

It is not an unprimeable number, because it can be changed into a prime (72000581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24898 + ... + 27638.

It is an arithmetic number, because the mean of its divisors is an integer number (3838800).

Almost surely, 2^72000588 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 72000588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92131200).

72000588 is an abundant number, since it is smaller than the sum of its proper divisors (112261812).

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

72000588 is a wasteful number, since it uses less digits than its factorization.

72000588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 72000588 is about 8485.3160224001. The cubic root of 72000588 is about 416.0178970974.

The spelling of 72000588 in words is "seventy-two million, five hundred eighty-eight", and thus it is an aban number.