72588030 has 16 divisors (see below), whose sum is σ = 174211344. Its totient is φ = 19356800.

The previous prime is 72588029. The next prime is 72588031. The reversal of 72588030 is 3088527.

It is an interprime number because it is at equal distance from previous prime (72588029) and next prime (72588031).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 72587982 and 72588000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72588031) 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, 1209771 + ... + 1209830.

It is an arithmetic number, because the mean of its divisors is an integer number (10888209).

Almost surely, 2^72588030 is an apocalyptic number.

72588030 is an abundant number, since it is smaller than the sum of its proper divisors (101623314).

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

72588030 is a wasteful number, since it uses less digits than its factorization.

72588030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419611.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72588030 is about 8519.8609143577. The cubic root of 72588030 is about 417.1462431813.

The spelling of 72588030 in words is "seventy-two million, five hundred eighty-eight thousand, thirty".