725109840 has 960 divisors, whose sum is σ = 3419781120. Its totient is φ = 139345920.

The previous prime is 725109821. The next prime is 725109877. The reversal of 725109840 is 48901527.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 725109795 and 725109804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23390625 + ... + 23390655.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^725109840 is an apocalyptic number.

725109840 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 725109840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

725109840 is an abundant number, since it is smaller than the sum of its proper divisors (2694671280).

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

725109840 is a wasteful number, since it uses less digits than its factorization.

725109840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 725109840 is about 26927.8636360184. The cubic root of 725109840 is about 898.3962550331.

The spelling of 725109840 in words is "seven hundred twenty-five million, one hundred nine thousand, eight hundred forty".