725307714040 has 128 divisors (see below), whose sum is σ = 2011072613760. Its totient is φ = 229259003904.

The previous prime is 725307714037. The next prime is 725307714083. The reversal of 725307714040 is 40417703527.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 725307713984 and 725307714002.

It is a congruent number.

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, 2776074 + ... + 3026086.

It is an arithmetic number, because the mean of its divisors is an integer number (15711504795).

Almost surely, 2^725307714040 is an apocalyptic number.

725307714040 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 725307714040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005536306880).

725307714040 is an abundant number, since it is smaller than the sum of its proper divisors (1285764899720).

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

725307714040 is a wasteful number, since it uses less digits than its factorization.

725307714040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250841 (or 250837 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 725307714040 in words is "seven hundred twenty-five billion, three hundred seven million, seven hundred fourteen thousand, forty".