725458032 has 240 divisors, whose sum is σ = 2345627648. Its totient is φ = 215550720.

The previous prime is 725458009. The next prime is 725458037. The reversal of 725458032 is 230854527.

725458032 is a `hidden beast` number, since 7 + 2 + 545 + 80 + 32 = 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 (725458037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566633 + ... + 1567095.

Almost surely, 2^725458032 is an apocalyptic number.

725458032 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 725458032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172813824).

725458032 is an abundant number, since it is smaller than the sum of its proper divisors (1620169616).

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

725458032 is a wasteful number, since it uses less digits than its factorization.

725458032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 725458032 is about 26934.3281334434. The cubic root of 725458032 is about 898.5400329431.

The spelling of 725458032 in words is "seven hundred twenty-five million, four hundred fifty-eight thousand, thirty-two".