725932152 has 128 divisors (see below), whose sum is σ = 2220768000. Its totient is φ = 217883520.

The previous prime is 725932121. The next prime is 725932159. The reversal of 725932152 is 251239527.

It is a super-2 number, since 2×725932152² = 1053954978614702208, 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 (725932159) 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, 257583 + ... + 260385.

It is an arithmetic number, because the mean of its divisors is an integer number (17349750).

Almost surely, 2^725932152 is an apocalyptic number.

725932152 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 725932152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110384000).

725932152 is an abundant number, since it is smaller than the sum of its proper divisors (1494835848).

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

725932152 is a wasteful number, since it uses less digits than its factorization.

725932152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2928 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 725932152 is about 26943.1281034701. The cubic root of 725932152 is about 898.7357359832.

The spelling of 725932152 in words is "seven hundred twenty-five million, nine hundred thirty-two thousand, one hundred fifty-two".