725513040 has 240 divisors, whose sum is σ = 2853317376. Its totient is φ = 161740800.

The previous prime is 725513023. The next prime is 725513093. The reversal of 725513040 is 40315527.

It is a happy number.

725513040 is a `hidden beast` number, since 72 + 551 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 725512995 and 725513013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204885 + ... + 208395.

Almost surely, 2^725513040 is an apocalyptic number.

725513040 is a gapful number since it is divisible by the number (70) 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 725513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426658688).

725513040 is an abundant number, since it is smaller than the sum of its proper divisors (2127804336).

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

725513040 is a wasteful number, since it uses less digits than its factorization.

725513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 725513040 is about 26935.3492644888. The cubic root of 725513040 is about 898.5627430282.

Adding to 725513040 its reverse (40315527), we get a palindrome (765828567).

The spelling of 725513040 in words is "seven hundred twenty-five million, five hundred thirteen thousand, forty".