752972920 has 32 divisors (see below), whose sum is σ = 1936216800. Its totient is φ = 258162048.

The previous prime is 752972897. The next prime is 752972921. The reversal of 752972920 is 29279257.

752972920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752972921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344315 + ... + 1344874.

It is an arithmetic number, because the mean of its divisors is an integer number (60506775).

Almost surely, 2^752972920 is an apocalyptic number.

752972920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

752972920 is an abundant number, since it is smaller than the sum of its proper divisors (1183243880).

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

752972920 is a wasteful number, since it uses less digits than its factorization.

752972920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689207 (or 2689203 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 752972920 is about 27440.3520385581. The cubic root of 752972920 is about 909.7591924107.

The spelling of 752972920 in words is "seven hundred fifty-two million, nine hundred seventy-two thousand, nine hundred twenty".