725514944 has 224 divisors, whose sum is σ = 1934724096. Its totient is φ = 261550080.

The previous prime is 725514901. The next prime is 725514971. The reversal of 725514944 is 449415527.

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

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, 4193642 + ... + 4193814.

Almost surely, 2^725514944 is an apocalyptic number.

725514944 is a gapful number since it is divisible by the number (74) 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 725514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967362048).

725514944 is an abundant number, since it is smaller than the sum of its proper divisors (1209209152).

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

725514944 is a wasteful number, since it uses less digits than its factorization.

725514944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 201600, while the sum is 41.

The square root of 725514944 is about 26935.3846083549. The cubic root of 725514944 is about 898.5635290751.

The spelling of 725514944 in words is "seven hundred twenty-five million, five hundred fourteen thousand, nine hundred forty-four".