721772352 has 252 divisors, whose sum is σ = 2439253440. Its totient is φ = 203438592.

The previous prime is 721772351. The next prime is 721772371. The reversal of 721772352 is 253277127.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×721772352² = 1041910656223223808, 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 (721772351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3019849 + ... + 3020087.

Almost surely, 2^721772352 is an apocalyptic number.

721772352 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 721772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219626720).

721772352 is an abundant number, since it is smaller than the sum of its proper divisors (1717481088).

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

721772352 is a wasteful number, since it uses less digits than its factorization.

721772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 721772352 is about 26865.8212604789. The cubic root of 721772352 is about 897.0157750868.

It can be divided in two parts, 72177 and 2352, that added together give a square (74529 = 273²).

The spelling of 721772352 in words is "seven hundred twenty-one million, seven hundred seventy-two thousand, three hundred fifty-two".