725973888 has 96 divisors (see below), whose sum is σ = 2035591560. Its totient is φ = 229211136.

The previous prime is 725973887. The next prime is 725973889. The reversal of 725973888 is 888379527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (725973887) and next prime (725973889).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (6773760) is a multiple of the sum of its prime factors (5292).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725973881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136006 + ... + 141242.

Almost surely, 2^725973888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725973888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017795780).

725973888 is an abundant number, since it is smaller than the sum of its proper divisors (1309617672).

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

725973888 is a wasteful number, since it uses less digits than its factorization.

725973888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5261 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 57.

The square root of 725973888 is about 26943.9026126506. The cubic root of 725973888 is about 898.7529593173.

The spelling of 725973888 in words is "seven hundred twenty-five million, nine hundred seventy-three thousand, eight hundred eighty-eight".