725363100 has 360 divisors, whose sum is σ = 2934062208. Its totient is φ = 150595200.

The previous prime is 725363099. The next prime is 725363101. The reversal of 725363100 is 1363527.

It is a happy number.

725363100 is a `hidden beast` number, since 7 + 25 + 3 + 631 + 0 + 0 = 666.

725363100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (725363099) and next prime (725363101).

It is a super-2 number, since 2×725363100² = 1052303253683220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725363101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 623119 + ... + 624281.

Almost surely, 2^725363100 is an apocalyptic number.

725363100 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 725363100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467031104).

725363100 is an abundant number, since it is smaller than the sum of its proper divisors (2208699108).

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

725363100 is a wasteful number, since it uses less digits than its factorization.

725363100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 725363100 is about 26932.5657893933. The cubic root of 725363100 is about 898.5008375108.

The spelling of 725363100 in words is "seven hundred twenty-five million, three hundred sixty-three thousand, one hundred".