724772560 has 80 divisors (see below), whose sum is σ = 1841882112. Its totient is φ = 264038400.

The previous prime is 724772557. The next prime is 724772563. The reversal of 724772560 is 65277427.

It is an interprime number because it is at equal distance from previous prime (724772557) and next prime (724772563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724772563) 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, 33565 + ... + 50755.

Almost surely, 2^724772560 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 724772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920941056).

724772560 is an abundant number, since it is smaller than the sum of its proper divisors (1117109552).

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

724772560 is a wasteful number, since it uses less digits than its factorization.

724772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17252 (or 17246 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 724772560 is about 26921.6002496137. The cubic root of 724772560 is about 898.2569390906.

The spelling of 724772560 in words is "seven hundred twenty-four million, seven hundred seventy-two thousand, five hundred sixty".