48772672 has 84 divisors (see below), whose sum is σ = 109464348. Its totient is φ = 21427200.

The previous prime is 48772637. The next prime is 48772723. The reversal of 48772672 is 27627784.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 44836416 = 1984^2 + 6696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799522 + ... + 799582.

It is an arithmetic number, because the mean of its divisors is an integer number (1303147).

Almost surely, 2^48772672 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 48772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54732174).

48772672 is an abundant number, since it is smaller than the sum of its proper divisors (60691676).

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

48772672 is a wasteful number, since it uses less digits than its factorization.

48772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its digits is 263424, while the sum is 43.

The square root of 48772672 is about 6983.7434088030. The cubic root of 48772672 is about 365.3638006570.

The spelling of 48772672 in words is "forty-eight million, seven hundred seventy-two thousand, six hundred seventy-two".