752819532 has 96 divisors (see below), whose sum is σ = 1906136064. Its totient is φ = 230630400.

The previous prime is 752819503. The next prime is 752819537. The reversal of 752819532 is 235918257.

It is a happy number.

It is a super-4 number, since 4×752819532⁴ (a number of 37 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (752819537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802968 + ... + 803904.

It is an arithmetic number, because the mean of its divisors is an integer number (19855584).

Almost surely, 2^752819532 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 752819532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953068032).

752819532 is an abundant number, since it is smaller than the sum of its proper divisors (1153316532).

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

752819532 is a wasteful number, since it uses less digits than its factorization.

752819532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 752819532 is about 27437.5569612165. The cubic root of 752819532 is about 909.6974125795.

The spelling of 752819532 in words is "seven hundred fifty-two million, eight hundred nineteen thousand, five hundred thirty-two".