752122140 has 192 divisors, whose sum is σ = 2639831040. Its totient is φ = 155439360.

The previous prime is 752122123. The next prime is 752122141. The reversal of 752122140 is 41221257.

752122140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 752122140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752122141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214751 + ... + 1215369.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^752122140 is an apocalyptic number.

752122140 is a gapful number since it is divisible by the number (70) 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 752122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319915520).

752122140 is an abundant number, since it is smaller than the sum of its proper divisors (1887708900).

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

752122140 is a wasteful number, since it uses less digits than its factorization.

752122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 752122140 is about 27424.8453049420. The cubic root of 752122140 is about 909.4164192941.

Adding to 752122140 its reverse (41221257), we get a palindrome (793343397).

The spelling of 752122140 in words is "seven hundred fifty-two million, one hundred twenty-two thousand, one hundred forty".