47851272 has 144 divisors (see below), whose sum is σ = 156911040. Its totient is φ = 12902976.

The previous prime is 47851261. The next prime is 47851289. The reversal of 47851272 is 27215874.

47851272 is a `hidden beast` number, since 4 + 78 + 512 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (31360) is a multiple of the sum of its prime factors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181813 + ... + 182075.

It is an arithmetic number, because the mean of its divisors is an integer number (1089660).

Almost surely, 2^47851272 is an apocalyptic number.

47851272 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 47851272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78455520).

47851272 is an abundant number, since it is smaller than the sum of its proper divisors (109059768).

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

47851272 is a wasteful number, since it uses less digits than its factorization.

47851272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 47851272 is about 6917.4613840628. The cubic root of 47851272 is about 363.0483736732.

The spelling of 47851272 in words is "forty-seven million, eight hundred fifty-one thousand, two hundred seventy-two".