48672180 has 72 divisors (see below), whose sum is σ = 148278312. Its totient is φ = 12923136.

The previous prime is 48672161. The next prime is 48672181. The reversal of 48672180 is 8127684.

It can be written as a sum of positive squares in 4 ways, for example, as 2377764 + 46294416 = 1542^2 + 6804^2 .

It is a super-2 number, since 2×48672180² = 4737962211904800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48672181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56634 + ... + 57486.

It is an arithmetic number, because the mean of its divisors is an integer number (2059421).

Almost surely, 2^48672180 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 48672180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74139156).

48672180 is an abundant number, since it is smaller than the sum of its proper divisors (99606132).

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

48672180 is a wasteful number, since it uses less digits than its factorization.

48672180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48672180 is about 6976.5449901796. The cubic root of 48672180 is about 365.1126942943.

The spelling of 48672180 in words is "forty-eight million, six hundred seventy-two thousand, one hundred eighty".