752213952 has 280 divisors, whose sum is σ = 2684922240. Its totient is φ = 203420160.

The previous prime is 752213947. The next prime is 752213953. The reversal of 752213952 is 259312257.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752213953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 688927 + ... + 690017.

It is an arithmetic number, because the mean of its divisors is an integer number (9589008).

Almost surely, 2^752213952 is an apocalyptic number.

752213952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342461120).

752213952 is an abundant number, since it is smaller than the sum of its proper divisors (1932708288).

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

752213952 is a wasteful number, since it uses less digits than its factorization.

752213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1122 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 752213952 is about 27426.5191375063. The cubic root of 752213952 is about 909.4534221241.

The spelling of 752213952 in words is "seven hundred fifty-two million, two hundred thirteen thousand, nine hundred fifty-two".