752352040 has 64 divisors (see below), whose sum is σ = 1877022720. Its totient is φ = 269088000.

The previous prime is 752352023. The next prime is 752352047. The reversal of 752352040 is 40253257.

It is not an unprimeable number, because it can be changed into a prime (752352047) 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, 12825 + ... + 40855.

It is an arithmetic number, because the mean of its divisors is an integer number (29328480).

Almost surely, 2^752352040 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 752352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938511360).

752352040 is an abundant number, since it is smaller than the sum of its proper divisors (1124670680).

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

752352040 is a wasteful number, since it uses less digits than its factorization.

752352040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28114 (or 28110 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 752352040 is about 27429.0364395106. The cubic root of 752352040 is about 909.5090698202.

The spelling of 752352040 in words is "seven hundred fifty-two million, three hundred fifty-two thousand, forty".