752333472 has 108 divisors (see below), whose sum is σ = 2351733930. Its totient is φ = 227969280.

The previous prime is 752333459. The next prime is 752333479. The reversal of 752333472 is 274333257.

752333472 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 only one way, i.e., 649026576 + 103306896 = 25476^2 + 10164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (752333479) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24054 + ... + 45642.

Almost surely, 2^752333472 is an apocalyptic number.

752333472 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 752333472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175866965).

752333472 is an abundant number, since it is smaller than the sum of its proper divisors (1599400458).

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

752333472 is a wasteful number, since it uses less digits than its factorization.

752333472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21627 (or 21605 counting only the distinct ones).

The product of its digits is 105840, while the sum is 36.

The square root of 752333472 is about 27428.6979639938. The cubic root of 752333472 is about 909.5015875502.

The spelling of 752333472 in words is "seven hundred fifty-two million, three hundred thirty-three thousand, four hundred seventy-two".