721752 has 64 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 215040.

The previous prime is 721739. The next prime is 721783. The reversal of 721752 is 257127.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11802 + ... + 11862.

2⁷²¹⁷⁵² 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 721752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

721752 is an abundant number, since it is smaller than the sum of its proper divisors (1287048).

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

721752 is a wasteful number, since it uses less digits than its factorization.

721752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 721752 is about 849.5598860587. The cubic root of 721752 is about 89.7007343880.

Adding to 721752 its reverse (257127), we get a palindrome (978879).

The spelling of 721752 in words is "seven hundred twenty-one thousand, seven hundred fifty-two".