752128416 has 360 divisors, whose sum is σ = 2561236524. Its totient is φ = 215654400.

The previous prime is 752128393. The next prime is 752128423. The reversal of 752128416 is 614821257.

It can be written as a sum of positive squares in 6 ways, for example, as 413715600 + 338412816 = 20340^2 + 18396^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7446766 + ... + 7446866.

Almost surely, 2^752128416 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 752128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280618262).

752128416 is an abundant number, since it is smaller than the sum of its proper divisors (1809108108).

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

752128416 is a wasteful number, since it uses less digits than its factorization.

752128416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 752128416 is about 27424.9597264973. The cubic root of 752128416 is about 909.4189487953.

It can be divided in two parts, 7521 and 28416, that added together give a cube (35937 = 33³).

The spelling of 752128416 in words is "seven hundred fifty-two million, one hundred twenty-eight thousand, four hundred sixteen".