48032072 has 64 divisors (see below), whose sum is σ = 105416640. Its totient is φ = 20275200.

The previous prime is 48032059. The next prime is 48032081. The reversal of 48032072 is 27023084.

48032072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48032072² = 4614159881226368, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 144947 + ... + 145277.

It is an arithmetic number, because the mean of its divisors is an integer number (1647135).

Almost surely, 2^48032072 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 48032072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52708320).

48032072 is an abundant number, since it is smaller than the sum of its proper divisors (57384568).

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

48032072 is a wasteful number, since it uses less digits than its factorization.

48032072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 48032072 is about 6930.5174409996. The cubic root of 48032072 is about 363.5050431727.

The spelling of 48032072 in words is "forty-eight million, thirty-two thousand, seventy-two".