752342040 has 128 divisors (see below), whose sum is σ = 2550528000. Its totient is φ = 197207424.

The previous prime is 752342033. The next prime is 752342081. The reversal of 752342040 is 40243257.

752342040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 752341995 and 752342013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57817 + ... + 69623.

It is an arithmetic number, because the mean of its divisors is an integer number (19926000).

Almost surely, 2^752342040 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 752342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275264000).

752342040 is an abundant number, since it is smaller than the sum of its proper divisors (1798185960).

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

752342040 is a wasteful number, since it uses less digits than its factorization.

752342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11876 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 752342040 is about 27428.8541503286. The cubic root of 752342040 is about 909.5050401769.

Adding to 752342040 its reverse (40243257), we get a palindrome (792585297).

The spelling of 752342040 in words is "seven hundred fifty-two million, three hundred forty-two thousand, forty".