872537600 has 120 divisors (see below), whose sum is σ = 2358686088. Its totient is φ = 317235200.

The previous prime is 872537581. The next prime is 872537609. The reversal of 872537600 is 6735278.

It is a happy number.

It is a super-2 number, since 2×872537600² = 1522643726827520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872537609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137702 + ... + 143898.

Almost surely, 2^872537600 is an apocalyptic number.

872537600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179343044).

872537600 is an abundant number, since it is smaller than the sum of its proper divisors (1486148488).

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

872537600 is a wasteful number, since it uses less digits than its factorization.

872537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 872537600 is about 29538.7474345139. The cubic root of 872537600 is about 955.5675290449.

The spelling of 872537600 in words is "eight hundred seventy-two million, five hundred thirty-seven thousand, six hundred".