756872130 has 192 divisors, whose sum is σ = 2311898112. Its totient is φ = 157409280.

The previous prime is 756872117. The next prime is 756872143. The reversal of 756872130 is 31278657.

It is an interprime number because it is at equal distance from previous prime (756872117) and next prime (756872143).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 774202 + ... + 775178.

It is an arithmetic number, because the mean of its divisors is an integer number (12041136).

Almost surely, 2^756872130 is an apocalyptic number.

756872130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 756872130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155949056).

756872130 is an abundant number, since it is smaller than the sum of its proper divisors (1555025982).

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

756872130 is a wasteful number, since it uses less digits than its factorization.

756872130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 756872130 is about 27511.3091291563. The cubic root of 756872130 is about 911.3268612218.

The spelling of 756872130 in words is "seven hundred fifty-six million, eight hundred seventy-two thousand, one hundred thirty".