724772160 has 168 divisors, whose sum is σ = 2849124096. Its totient is φ = 165657600.

The previous prime is 724772143. The next prime is 724772161. The reversal of 724772160 is 61277427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×724772160² = 1050589367822131200, which contains 22 as substring.

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 (724772161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2185 + ... + 38135.

It is an arithmetic number, because the mean of its divisors is an integer number (16959072).

Almost surely, 2^724772160 is an apocalyptic number.

724772160 is a gapful number since it is divisible by the number (70) 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 724772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424562048).

724772160 is an abundant number, since it is smaller than the sum of its proper divisors (2124351936).

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

724772160 is a wasteful number, since it uses less digits than its factorization.

724772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35981 (or 35968 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 724772160 is about 26921.5928206338. The cubic root of 724772160 is about 898.2567738421.

The spelling of 724772160 in words is "seven hundred twenty-four million, seven hundred seventy-two thousand, one hundred sixty".