872768052 has 108 divisors (see below), whose sum is σ = 2406025440. Its totient is φ = 266625216.

The previous prime is 872768041. The next prime is 872768081. The reversal of 872768052 is 250867278.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 872767989 and 872768007.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1015599 + ... + 1016457.

Almost surely, 2^872768052 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 872768052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203012720).

872768052 is an abundant number, since it is smaller than the sum of its proper divisors (1533257388).

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

872768052 is a wasteful number, since it uses less digits than its factorization.

872768052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 872768052 is about 29542.6480194312. The cubic root of 872768052 is about 955.6516488444.

The spelling of 872768052 in words is "eight hundred seventy-two million, seven hundred sixty-eight thousand, fifty-two".