252721728 has 224 divisors, whose sum is σ = 899769600. Its totient is φ = 67903488.

The previous prime is 252721709. The next prime is 252721739. The reversal of 252721728 is 827127252.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 252721692 and 252721701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205018 + ... + 206246.

Almost surely, 2^252721728 is an apocalyptic number.

252721728 is a gapful number since it is divisible by the number (28) 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 252721728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449884800).

252721728 is an abundant number, since it is smaller than the sum of its proper divisors (647047872).

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

252721728 is a wasteful number, since it uses less digits than its factorization.

252721728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1258 counting only the distinct ones).

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

The square root of 252721728 is about 15897.2239085949. The cubic root of 252721728 is about 632.2383868104.

It can be divided in two parts, 25272 and 1728, that added together give a cube (27000 = 30³).

The spelling of 252721728 in words is "two hundred fifty-two million, seven hundred twenty-one thousand, seven hundred twenty-eight".