725624240 has 80 divisors (see below), whose sum is σ = 1920519936. Its totient is φ = 252384000.

The previous prime is 725624213. The next prime is 725624287. The reversal of 725624240 is 42426527.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 725624197 and 725624206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315 + ... + 38165.

Almost surely, 2^725624240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725624240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960259968).

725624240 is an abundant number, since it is smaller than the sum of its proper divisors (1194895696).

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

725624240 is a wasteful number, since it uses less digits than its factorization.

725624240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35898 (or 35892 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 725624240 is about 26937.4133873318. The cubic root of 725624240 is about 898.6086485079.

The spelling of 725624240 in words is "seven hundred twenty-five million, six hundred twenty-four thousand, two hundred forty".