721580160 has 256 divisors, whose sum is σ = 2680853760. Its totient is φ = 161660928.

The previous prime is 721580137. The next prime is 721580161. The reversal of 721580160 is 61085127.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (721580161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711814 + ... + 712826.

It is an arithmetic number, because the mean of its divisors is an integer number (10472085).

Almost surely, 2^721580160 is an apocalyptic number.

721580160 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 721580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340426880).

721580160 is an abundant number, since it is smaller than the sum of its proper divisors (1959273600).

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

721580160 is a wasteful number, since it uses less digits than its factorization.

721580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 721580160 is about 26862.2441355893. The cubic root of 721580160 is about 896.9361495374.

The spelling of 721580160 in words is "seven hundred twenty-one million, five hundred eighty thousand, one hundred sixty".