752365152 has 384 divisors, whose sum is σ = 2810142720. Its totient is φ = 190149120.

The previous prime is 752365151. The next prime is 752365153. The reversal of 752365152 is 251563257.

It is an interprime number because it is at equal distance from previous prime (752365151) and next prime (752365153).

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 (752365151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2860573 + ... + 2860835.

It is an arithmetic number, because the mean of its divisors is an integer number (7318080).

Almost surely, 2^752365152 is an apocalyptic number.

752365152 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 752365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405071360).

752365152 is an abundant number, since it is smaller than the sum of its proper divisors (2057777568).

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

752365152 is a wasteful number, since it uses less digits than its factorization.

752365152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 752365152 is about 27429.2754552504. The cubic root of 752365152 is about 909.5143534344.

The spelling of 752365152 in words is "seven hundred fifty-two million, three hundred sixty-five thousand, one hundred fifty-two".