61872200 has 96 divisors (see below), whose sum is σ = 158193000. Its totient is φ = 22364160.

The previous prime is 61872199. The next prime is 61872229. The reversal of 61872200 is 227816.

It can be written as a sum of positive squares in 12 ways, for example, as 3104644 + 58767556 = 1762^2 + 7666^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 61872200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137576 + ... + 138024.

Almost surely, 2^61872200 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 61872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79096500).

61872200 is an abundant number, since it is smaller than the sum of its proper divisors (96320800).

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

61872200 is a wasteful number, since it uses less digits than its factorization.

61872200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 61872200 is about 7865.8883795793. Note that the first 3 decimals coincide. The cubic root of 61872200 is about 395.5170284452.

The spelling of 61872200 in words is "sixty-one million, eight hundred seventy-two thousand, two hundred".