752432496 has 80 divisors (see below), whose sum is σ = 2021680128. Its totient is φ = 240883200.

The previous prime is 752432491. The next prime is 752432503. The reversal of 752432496 is 694234257.

752432496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×752432496² = 1132309322073580032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752432491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202011 + ... + 205701.

Almost surely, 2^752432496 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 752432496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010840064).

752432496 is an abundant number, since it is smaller than the sum of its proper divisors (1269247632).

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

752432496 is a wasteful number, since it uses less digits than its factorization.

752432496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3864 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 752432496 is about 27430.5030212718. The cubic root of 752432496 is about 909.5414894188.

The spelling of 752432496 in words is "seven hundred fifty-two million, four hundred thirty-two thousand, four hundred ninety-six".