725279724 has 144 divisors (see below), whose sum is σ = 2065996800. Its totient is φ = 219900096.

The previous prime is 725279671. The next prime is 725279729. The reversal of 725279724 is 427972527.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 725279724.

It is not an unprimeable number, because it can be changed into a prime (725279729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441657 + ... + 1442159.

It is an arithmetic number, because the mean of its divisors is an integer number (14347200).

Almost surely, 2^725279724 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 725279724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032998400).

725279724 is an abundant number, since it is smaller than the sum of its proper divisors (1340717076).

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

725279724 is a wasteful number, since it uses less digits than its factorization.

725279724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 600 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 725279724 is about 26931.0178790182. The cubic root of 725279724 is about 898.4664104879.

The spelling of 725279724 in words is "seven hundred twenty-five million, two hundred seventy-nine thousand, seven hundred twenty-four".