725188032 has 112 divisors (see below), whose sum is σ = 2140427520. Its totient is φ = 240765696.

The previous prime is 725188031. The next prime is 725188073. The reversal of 725188032 is 230881527.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725188031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529813 + ... + 531179.

It is an arithmetic number, because the mean of its divisors is an integer number (19110960).

Almost surely, 2^725188032 is an apocalyptic number.

725188032 is a gapful number since it is divisible by the number (72) 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 725188032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070213760).

725188032 is an abundant number, since it is smaller than the sum of its proper divisors (1415239488).

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

725188032 is a wasteful number, since it uses less digits than its factorization.

725188032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 725188032 is about 26929.3154758898. The cubic root of 725188032 is about 898.4285466351.

The spelling of 725188032 in words is "seven hundred twenty-five million, one hundred eighty-eight thousand, thirty-two".