872006751 has 48 divisors (see below), whose sum is σ = 1638673920. Its totient is φ = 433287360.

The previous prime is 872006749. The next prime is 872006753. The reversal of 872006751 is 157600278.

It is an interprime number because it is at equal distance from previous prime (872006749) and next prime (872006753).

It is not a de Polignac number, because 872006751 - 2¹ = 872006749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872006753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11416 + ... + 43293.

It is an arithmetic number, because the mean of its divisors is an integer number (34139040).

Almost surely, 2^872006751 is an apocalyptic number.

872006751 is a deficient number, since it is larger than the sum of its proper divisors (766667169).

872006751 is a wasteful number, since it uses less digits than its factorization.

872006751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54756 (or 54753 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 872006751 is about 29529.7604290993. The cubic root of 872006751 is about 955.3737016866.

The spelling of 872006751 in words is "eight hundred seventy-two million, six thousand, seven hundred fifty-one".