752117040 has 180 divisors, whose sum is σ = 2612368512. Its totient is φ = 193916160.

The previous prime is 752116991. The next prime is 752117063. The reversal of 752117040 is 40711257.

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 752116995 and 752117013.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 691377 + ... + 692463.

Almost surely, 2^752117040 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 752117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306184256).

752117040 is an abundant number, since it is smaller than the sum of its proper divisors (1860251472).

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

752117040 is a wasteful number, since it uses less digits than its factorization.

752117040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 752117040 is about 27424.7523234030. The cubic root of 752117040 is about 909.4143637617.

Adding to 752117040 its reverse (40711257), we get a palindrome (792828297).

The spelling of 752117040 in words is "seven hundred fifty-two million, one hundred seventeen thousand, forty".