725003136 has 384 divisors, whose sum is σ = 2557376640. Its totient is φ = 201553920.

The previous prime is 725003119. The next prime is 725003221. The reversal of 725003136 is 631300527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447791 + ... + 4447953.

It is an arithmetic number, because the mean of its divisors is an integer number (6659835).

Almost surely, 2^725003136 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 725003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278688320).

725003136 is an abundant number, since it is smaller than the sum of its proper divisors (1832373504).

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

725003136 is a wasteful number, since it uses less digits than its factorization.

725003136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

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

The square root of 725003136 is about 26925.8822696676. The cubic root of 725003136 is about 898.3521848471.

The spelling of 725003136 in words is "seven hundred twenty-five million, three thousand, one hundred thirty-six".