49872200 has 96 divisors (see below), whose sum is σ = 135408000. Its totient is φ = 17075520.

The previous prime is 49872191. The next prime is 49872239. The reversal of 49872200 is 227894.

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, 68237 + ... + 68963.

It is an arithmetic number, because the mean of its divisors is an integer number (1410500).

Almost surely, 2^49872200 is an apocalyptic number.

49872200 is a gapful number since it is divisible by the number (40) 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 49872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704000).

49872200 is an abundant number, since it is smaller than the sum of its proper divisors (85535800).

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

49872200 is a wasteful number, since it uses less digits than its factorization.

49872200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 49872200 is about 7062.0252052793. The cubic root of 49872200 is about 368.0890025746.

The spelling of 49872200 in words is "forty-nine million, eight hundred seventy-two thousand, two hundred".