752842112 has 64 divisors (see below), whose sum is σ = 1640943360. Its totient is φ = 341199360.

The previous prime is 752842109. The next prime is 752842133. The reversal of 752842112 is 211248257.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 707693 + ... + 708755.

It is an arithmetic number, because the mean of its divisors is an integer number (25639740).

Almost surely, 2^752842112 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 752842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820471680).

752842112 is an abundant number, since it is smaller than the sum of its proper divisors (888101248).

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

752842112 is a wasteful number, since it uses less digits than its factorization.

752842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1579 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 752842112 is about 27437.9684379146. The cubic root of 752842112 is about 909.7065076155.

The spelling of 752842112 in words is "seven hundred fifty-two million, eight hundred forty-two thousand, one hundred twelve".