252502272 has 288 divisors, whose sum is σ = 844744320. Its totient is φ = 74649600.

The previous prime is 252502253. The next prime is 252502273. The reversal of 252502272 is 272205252.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252502273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6158572 + ... + 6158612.

It is an arithmetic number, because the mean of its divisors is an integer number (2933140).

Almost surely, 2^252502272 is an apocalyptic number.

252502272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422372160).

252502272 is an abundant number, since it is smaller than the sum of its proper divisors (592242048).

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

252502272 is an frugal number, since it uses more digits than its factorization.

252502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 252502272 is about 15890.3200722956. The cubic root of 252502272 is about 632.0553281690.

The spelling of 252502272 in words is "two hundred fifty-two million, five hundred two thousand, two hundred seventy-two".