725713100 has 144 divisors (see below), whose sum is σ = 1895878656. Its totient is φ = 235872000.

The previous prime is 725713091. The next prime is 725713103. The reversal of 725713100 is 1317527.

It is a super-2 number, since 2×725713100² = 1053319007023220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 725713100.

It is not an unprimeable number, because it can be changed into a prime (725713103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1149785 + ... + 1150415.

It is an arithmetic number, because the mean of its divisors is an integer number (13165824).

Almost surely, 2^725713100 is an apocalyptic number.

725713100 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 725713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947939328).

725713100 is an abundant number, since it is smaller than the sum of its proper divisors (1170165556).

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

725713100 is a wasteful number, since it uses less digits than its factorization.

725713100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 725713100 is about 26939.0627156922. The cubic root of 725713100 is about 898.6453282387.

The spelling of 725713100 in words is "seven hundred twenty-five million, seven hundred thirteen thousand, one hundred".