48137672 has 36 divisors (see below), whose sum is σ = 99656235. Its totient is φ = 21782640.

The previous prime is 48137633. The next prime is 48137681. The reversal of 48137672 is 27673184.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48137672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24068836 + 24068836 = 4906^2 + 4906^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4906.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 215753 + ... + 215975.

Almost surely, 2^48137672 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 48137672

48137672 is an abundant number, since it is smaller than the sum of its proper divisors (51518563).

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

48137672 is a wasteful number, since it uses less digits than its factorization.

48137672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 236 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 48137672 is about 6938.1317370024. The cubic root of 48137672 is about 363.7712405573.

Multiplying 48137672 by its product of digits (56448), we get a square (2717275309056 = 1648416²).

The spelling of 48137672 in words is "forty-eight million, one hundred thirty-seven thousand, six hundred seventy-two".