721328832 has 336 divisors, whose sum is σ = 2535936000. Its totient is φ = 191600640.

The previous prime is 721328821. The next prime is 721328849. The reversal of 721328832 is 238823127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3624669 + ... + 3624867.

Almost surely, 2^721328832 is an apocalyptic number.

721328832 is a gapful number since it is divisible by the number (72) 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 721328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267968000).

721328832 is an abundant number, since it is smaller than the sum of its proper divisors (1814607168).

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

721328832 is a wasteful number, since it uses less digits than its factorization.

721328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 721328832 is about 26857.5656380097. The cubic root of 721328832 is about 896.8320024824.

The spelling of 721328832 in words is "seven hundred twenty-one million, three hundred twenty-eight thousand, eight hundred thirty-two".