48772200 has 96 divisors (see below), whose sum is σ = 156463200. Its totient is φ = 12552960.

The previous prime is 48772189. The next prime is 48772219. The reversal of 48772200 is 227784.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 15999 + ... + 18801.

It is an arithmetic number, because the mean of its divisors is an integer number (1629825).

Almost surely, 2^48772200 is an apocalyptic number.

48772200 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 48772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78231600).

48772200 is an abundant number, since it is smaller than the sum of its proper divisors (107691000).

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

48772200 is a wasteful number, since it uses less digits than its factorization.

48772200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 48772200 is about 6983.7096159563. The cubic root of 48772200 is about 365.3626220443.

Adding to 48772200 its reverse (227784), we get a palindrome (48999984).

The spelling of 48772200 in words is "forty-eight million, seven hundred seventy-two thousand, two hundred".