872574600 has 144 divisors (see below), whose sum is σ = 2768461200. Its totient is φ = 227285760.

The previous prime is 872574583. The next prime is 872574613. The reversal of 872574600 is 6475278.

It is a super-2 number, since 2×872574600² = 1522772865130320000, which contains 22 as substring.

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, 5557722 + ... + 5557878.

It is an arithmetic number, because the mean of its divisors is an integer number (19225425).

Almost surely, 2^872574600 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 872574600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384230600).

872574600 is an abundant number, since it is smaller than the sum of its proper divisors (1895886600).

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

872574600 is a wasteful number, since it uses less digits than its factorization.

872574600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 872574600 is about 29539.3737238960. The cubic root of 872574600 is about 955.5810358168.

The spelling of 872574600 in words is "eight hundred seventy-two million, five hundred seventy-four thousand, six hundred".