753472 has 28 divisors (see below), whose sum is σ = 1527556. Its totient is φ = 368640.

The previous prime is 753463. The next prime is 753497. The reversal of 753472 is 274357.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 665856 = 296^2 + 816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 753472.

It is a congruent number.

It is an unprimeable number.

753472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3808 + ... + 4000.

2⁷⁵³⁴⁷² 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 753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763778).

753472 is an abundant number, since it is smaller than the sum of its proper divisors (774084).

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

753472 is a wasteful number, since it uses less digits than its factorization.

753472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its digits is 5880, while the sum is 28.

The square root of 753472 is about 868.0276493292. The cubic root of 753472 is about 90.9960147995.

It can be divided in two parts, 753 and 472, that added together give a triangular number (1225 = T₄₉).

The spelling of 753472 in words is "seven hundred fifty-three thousand, four hundred seventy-two".