752972288 has 40 divisors (see below), whose sum is σ = 1529200860. Its totient is φ = 370298880.

The previous prime is 752972287. The next prime is 752972291. The reversal of 752972288 is 882279257.

It can be written as a sum of positive squares in 2 ways, for example, as 711395584 + 41576704 = 26672^2 + 6448^2 .

It is not an unprimeable number, because it can be changed into a prime (752972281) by changing a digit.

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, 19178 + ... + 43286.

Almost surely, 2^752972288 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 752972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764600430).

752972288 is an abundant number, since it is smaller than the sum of its proper divisors (776228572).

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

752972288 is an equidigital number, since it uses as much as digits as its factorization.

752972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24188 (or 24172 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 50.

The square root of 752972288 is about 27440.3405226684. The cubic root of 752972288 is about 909.7589378783.

The spelling of 752972288 in words is "seven hundred fifty-two million, nine hundred seventy-two thousand, two hundred eighty-eight".