507272172 has 72 divisors (see below), whose sum is σ = 1332908976. Its totient is φ = 149952000.

The previous prime is 507272141. The next prime is 507272177. The reversal of 507272172 is 271272705.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (507272177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55272 + ... + 63792.

Almost surely, 2^507272172 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 507272172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666454488).

507272172 is an abundant number, since it is smaller than the sum of its proper divisors (825636804).

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

507272172 is a wasteful number, since it uses less digits than its factorization.

507272172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 507272172 is about 22522.7034789343. The cubic root of 507272172 is about 797.5299711289.

The spelling of 507272172 in words is "five hundred seven million, two hundred seventy-two thousand, one hundred seventy-two".