752144640 has 432 divisors, whose sum is σ = 2782946880. Its totient is φ = 172523520.

The previous prime is 752144639. The next prime is 752144641. The reversal of 752144640 is 46441257.

It is an interprime number because it is at equal distance from previous prime (752144639) and next prime (752144641).

It is not an unprimeable number, because it can be changed into a prime (752144641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12330210 + ... + 12330270.

Almost surely, 2^752144640 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 752144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391473440).

752144640 is an abundant number, since it is smaller than the sum of its proper divisors (2030802240).

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

752144640 is a wasteful number, since it uses less digits than its factorization.

752144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 752144640 is about 27425.2555138507. The cubic root of 752144640 is about 909.4254877084.

Adding to 752144640 its reverse (46441257), we get a palindrome (798585897).

The spelling of 752144640 in words is "seven hundred fifty-two million, one hundred forty-four thousand, six hundred forty".