48771072 has 234 divisors, whose sum is σ = 169946868. Its totient is φ = 13934592.

The previous prime is 48771071. The next prime is 48771083. The reversal of 48771072 is 27017784.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (48771071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6967293 + ... + 6967299.

Almost surely, 2^48771072 is an apocalyptic number.

48771072 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 48771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84973434).

48771072 is an abundant number, since it is smaller than the sum of its proper divisors (121175796).

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

48771072 is an frugal number, since it uses more digits than its factorization.

48771072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 48771072 is about 6983.6288561177. The cubic root of 48771072 is about 365.3598053290.

The spelling of 48771072 in words is "forty-eight million, seven hundred seventy-one thousand, seventy-two".