48900672 has 70 divisors (see below), whose sum is σ = 144972278. Its totient is φ = 16298496.

The previous prime is 48900667. The next prime is 48900689. The reversal of 48900672 is 27600984.

It can be written as a sum of positive squares in only one way, i.e., 44836416 + 4064256 = 6696^2 + 2016^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 468 + ... + 9900.

Almost surely, 2^48900672 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 48900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72486139).

48900672 is an abundant number, since it is smaller than the sum of its proper divisors (96071606).

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

48900672 is an equidigital number, since it uses as much as digits as its factorization.

48900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 48900672 is about 6992.9015437084. The cubic root of 48900672 is about 365.6831442047.

The spelling of 48900672 in words is "forty-eight million, nine hundred thousand, six hundred seventy-two".