172504072 has 32 divisors (see below), whose sum is σ = 352258200. Its totient is φ = 78718464.

The previous prime is 172504063. The next prime is 172504081. The reversal of 172504072 is 270405271.

It is an interprime number because it is at equal distance from previous prime (172504063) and next prime (172504081).

It can be written as a sum of positive squares in 4 ways, for example, as 32649796 + 139854276 = 5714^2 + 11826^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 172504072.

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, 63 + ... + 18574.

Almost surely, 2^172504072 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 172504072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176129100).

172504072 is an abundant number, since it is smaller than the sum of its proper divisors (179754128).

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

172504072 is a wasteful number, since it uses less digits than its factorization.

172504072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18745 (or 18741 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 172504072 is about 13134.0805540396. The cubic root of 172504072 is about 556.6725209244.

The spelling of 172504072 in words is "one hundred seventy-two million, five hundred four thousand, seventy-two".