752152320 has 216 divisors, whose sum is σ = 2630628000. Its totient is φ = 198402048.

The previous prime is 752152319. The next prime is 752152321. The reversal of 752152320 is 23251257.

It is an interprime number because it is at equal distance from previous prime (752152319) and next prime (752152321).

It is a super-2 number, since 2×752152320² = 1131466224962764800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752152321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255381 + ... + 1255979.

Almost surely, 2^752152320 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 752152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315314000).

752152320 is an abundant number, since it is smaller than the sum of its proper divisors (1878475680).

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

752152320 is a wasteful number, since it uses less digits than its factorization.

752152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 752152320 is about 27425.3955304203. The cubic root of 752152320 is about 909.4285830190.

The spelling of 752152320 in words is "seven hundred fifty-two million, one hundred fifty-two thousand, three hundred twenty".