48622720 has 128 divisors (see below), whose sum is σ = 127234800. Its totient is φ = 17694720.

The previous prime is 48622709. The next prime is 48622727. The reversal of 48622720 is 2722684.

It can be written as a sum of positive squares in 8 ways, for example, as 19289664 + 29333056 = 4392^2 + 5416^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (48622727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446026 + ... + 446134.

Almost surely, 2^48622720 is an apocalyptic number.

48622720 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 48622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63617400).

48622720 is an abundant number, since it is smaller than the sum of its proper divisors (78612080).

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

48622720 is a wasteful number, since it uses less digits than its factorization.

48622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 48622720 is about 6972.9993546536. Note that the first 3 decimals coincide. The cubic root of 48622720 is about 364.9889782122.

The spelling of 48622720 in words is "forty-eight million, six hundred twenty-two thousand, seven hundred twenty".