725142528 has 264 divisors, whose sum is σ = 2391158016. Its totient is φ = 209510400.

The previous prime is 725142527. The next prime is 725142533. The reversal of 725142528 is 825241527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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

Its product of digits (44800) is a multiple of the sum of its prime divisors (350).

It is a junction number, because it is equal to n+sod(n) for n = 725142492 and 725142501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725142527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331493 + ... + 2331803.

Almost surely, 2^725142528 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 725142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195579008).

725142528 is an abundant number, since it is smaller than the sum of its proper divisors (1666015488).

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

725142528 is a wasteful number, since it uses less digits than its factorization.

725142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 350 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 725142528 is about 26928.4705841234. The cubic root of 725142528 is about 898.4097547513.

The spelling of 725142528 in words is "seven hundred twenty-five million, one hundred forty-two thousand, five hundred twenty-eight".