48102072 has 64 divisors (see below), whose sum is σ = 130051200. Its totient is φ = 14774400.

The previous prime is 48102071. The next prime is 48102077. The reversal of 48102072 is 27020184.

It is a super-3 number, since 3×48102072³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48102071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15447 + ... + 18297.

It is an arithmetic number, because the mean of its divisors is an integer number (2032050).

Almost surely, 2^48102072 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 48102072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65025600).

48102072 is an abundant number, since it is smaller than the sum of its proper divisors (81949128).

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

48102072 is a wasteful number, since it uses less digits than its factorization.

48102072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 48102072 is about 6935.5657303496. The cubic root of 48102072 is about 363.6815433107.

The spelling of 48102072 in words is "forty-eight million, one hundred two thousand, seventy-two".