725918940 has 288 divisors, whose sum is σ = 2465648640. Its totient is φ = 172108800.

The previous prime is 725918929. The next prime is 725918983. The reversal of 725918940 is 49819527.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4346737 + ... + 4346903.

It is an arithmetic number, because the mean of its divisors is an integer number (8561280).

Almost surely, 2^725918940 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 725918940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232824320).

725918940 is an abundant number, since it is smaller than the sum of its proper divisors (1739729700).

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

725918940 is a wasteful number, since it uses less digits than its factorization.

725918940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 725918940 is about 26942.8829192423. The cubic root of 725918940 is about 898.7302836057.

The spelling of 725918940 in words is "seven hundred twenty-five million, nine hundred eighteen thousand, nine hundred forty".