725065723200 has 672 divisors, whose sum is σ = 2937858187264. Its totient is φ = 152454389760.

The previous prime is 725065723199. The next prime is 725065723201. The reversal of 725065723200 is 2327560527.

It is an interprime number because it is at equal distance from previous prime (725065723199) and next prime (725065723201).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725065723201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134094897 + ... + 134100303.

Almost surely, 2^725065723200 is an apocalyptic number.

725065723200 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 725065723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468929093632).

725065723200 is an abundant number, since it is smaller than the sum of its proper divisors (2212792464064).

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

725065723200 is a wasteful number, since it uses less digits than its factorization.

725065723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 725065723200 in words is "seven hundred twenty-five billion, sixty-five million, seven hundred twenty-three thousand, two hundred".