48540672 has 132 divisors (see below), whose sum is σ = 146892720. Its totient is φ = 15409152.

The previous prime is 48540671. The next prime is 48540697. The reversal of 48540672 is 27604584.

48540672 is a `hidden beast` number, since 48 + 540 + 6 + 72 = 666.

It is a super-3 number, since 3×48540672³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48540671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211854 + ... + 212082.

Almost surely, 2^48540672 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 48540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73446360).

48540672 is an abundant number, since it is smaller than the sum of its proper divisors (98352048).

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

48540672 is a wasteful number, since it uses less digits than its factorization.

48540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48540672 is about 6967.1136060782. The cubic root of 48540672 is about 364.7835634330.

The spelling of 48540672 in words is "forty-eight million, five hundred forty thousand, six hundred seventy-two".