752264112 has 80 divisors (see below), whose sum is σ = 2050146560. Its totient is φ = 237033216.

The previous prime is 752264111. The next prime is 752264113. The reversal of 752264112 is 211462257.

752264112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (752264111) and next prime (752264113).

It is a self number, because there is not a number n which added to its sum of digits gives 752264112.

It is not an unprimeable number, because it can be changed into a prime (752264111) 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, 777453 + ... + 778419.

It is an arithmetic number, because the mean of its divisors is an integer number (25626832).

Almost surely, 2^752264112 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 752264112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025073280).

752264112 is an abundant number, since it is smaller than the sum of its proper divisors (1297882448).

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

752264112 is a wasteful number, since it uses less digits than its factorization.

752264112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1844 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 752264112 is about 27427.4335656838. The cubic root of 752264112 is about 909.4736367495.

The spelling of 752264112 in words is "seven hundred fifty-two million, two hundred sixty-four thousand, one hundred twelve".