48645972 has 72 divisors (see below), whose sum is σ = 128637600. Its totient is φ = 15484608.

The previous prime is 48645929. The next prime is 48645977. The reversal of 48645972 is 27954684.

It is a happy number.

48645972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (483840) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48645977) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78279 + ... + 78897.

It is a vampire number, since it can be written as 6549 ⋅ 7428 (with its own digits).

Almost surely, 2^48645972 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 48645972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

48645972 is an abundant number, since it is smaller than the sum of its proper divisors (79991628).

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

48645972 is a wasteful number, since it uses less digits than its factorization.

48645972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 48645972 is about 6974.6664436373. Note that the first 3 decimals coincide. The cubic root of 48645972 is about 365.0471497232.

The spelling of 48645972 in words is "forty-eight million, six hundred forty-five thousand, nine hundred seventy-two".