752720 has 30 divisors (see below), whose sum is σ = 1768302. Its totient is φ = 297984.

The previous prime is 752707. The next prime is 752747. The reversal of 752720 is 27257.

752720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 53824 + 698896 = 232^2 + 836^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

752720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7712 + ... + 7808.

2⁷⁵²⁷²⁰ 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 752720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884151).

752720 is an abundant number, since it is smaller than the sum of its proper divisors (1015582).

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

752720 is an equidigital number, since it uses as much as digits as its factorization.

752720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 752720 is about 867.5943752699. The cubic root of 752720 is about 90.9657319751.

Multiplying 752720 by its product of nonzero digits (980), we get a square (737665600 = 27160²).

Adding to 752720 its reverse (27257), we get a palindrome (779977).

The spelling of 752720 in words is "seven hundred fifty-two thousand, seven hundred twenty".