752572842 has 64 divisors (see below), whose sum is σ = 1776783360. Its totient is φ = 208039104.

The previous prime is 752572831. The next prime is 752572867. The reversal of 752572842 is 248275257.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 752572794 and 752572803.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 194943 + ... + 198765.

It is an arithmetic number, because the mean of its divisors is an integer number (27762240).

Almost surely, 2^752572842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752572842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888391680).

752572842 is an abundant number, since it is smaller than the sum of its proper divisors (1024210518).

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

752572842 is a wasteful number, since it uses less digits than its factorization.

752572842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987.

The product of its digits is 313600, while the sum is 42.

The square root of 752572842 is about 27433.0611124606. The cubic root of 752572842 is about 909.5980360525.

The spelling of 752572842 in words is "seven hundred fifty-two million, five hundred seventy-two thousand, eight hundred forty-two".