251272872 has 96 divisors (see below), whose sum is σ = 725306400. Its totient is φ = 78357888.

The previous prime is 251272871. The next prime is 251272877. The reversal of 251272872 is 278272152.

251272872 is a `hidden beast` number, since 2 + 512 + 72 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251272871) 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, 112438 + ... + 114650.

It is an arithmetic number, because the mean of its divisors is an integer number (7555275).

Almost surely, 2^251272872 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 251272872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362653200).

251272872 is an abundant number, since it is smaller than the sum of its proper divisors (474033528).

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

251272872 is a wasteful number, since it uses less digits than its factorization.

251272872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2320 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 251272872 is about 15851.5889424373. The cubic root of 251272872 is about 631.0278610332.

The spelling of 251272872 in words is "two hundred fifty-one million, two hundred seventy-two thousand, eight hundred seventy-two".