725257152 has 140 divisors (see below), whose sum is σ = 2219732416. Its totient is φ = 233902080.

The previous prime is 725257147. The next prime is 725257153. The reversal of 725257152 is 251752527.

It is a super-2 number, since 2×725257152² = 1051995873054302208, which contains 22 as substring.

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 (725257153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 158448 + ... + 162960.

Almost surely, 2^725257152 is an apocalyptic number.

725257152 is a gapful number since it is divisible by the number (72) 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 725257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109866208).

725257152 is an abundant number, since it is smaller than the sum of its proper divisors (1494475264).

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

725257152 is a wasteful number, since it uses less digits than its factorization.

725257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4549 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 725257152 is about 26930.5988050767. The cubic root of 725257152 is about 898.4570897649.

The spelling of 725257152 in words is "seven hundred twenty-five million, two hundred fifty-seven thousand, one hundred fifty-two".