48015072 has 192 divisors, whose sum is σ = 169827840. Its totient is φ = 12883968.

The previous prime is 48015031. The next prime is 48015103. The reversal of 48015072 is 27051084.

48015072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 102583 + ... + 103049.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^48015072 is an apocalyptic number.

48015072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48015072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

48015072 is an abundant number, since it is smaller than the sum of its proper divisors (121812768).

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

48015072 is a wasteful number, since it uses less digits than its factorization.

48015072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 48015072 is about 6929.2908728094. The cubic root of 48015072 is about 363.4621529768.

The spelling of 48015072 in words is "forty-eight million, fifteen thousand, seventy-two".