752463712 has 192 divisors, whose sum is σ = 2015193600. Its totient is φ = 268669440.

The previous prime is 752463689. The next prime is 752463721. The reversal of 752463712 is 217364257.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5413339 + ... + 5413477.

It is an arithmetic number, because the mean of its divisors is an integer number (10495800).

Almost surely, 2^752463712 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 752463712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007596800).

752463712 is an abundant number, since it is smaller than the sum of its proper divisors (1262729888).

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

752463712 is a wasteful number, since it uses less digits than its factorization.

752463712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 172 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 752463712 is about 27431.0720169665. The cubic root of 752463712 is about 909.5540672269.

It can be divided in two parts, 752 and 463712, that added together give a palindrome (464464).

The spelling of 752463712 in words is "seven hundred fifty-two million, four hundred sixty-three thousand, seven hundred twelve".