47212872 has 96 divisors (see below), whose sum is σ = 144597600. Its totient is φ = 12773376.

The previous prime is 47212871. The next prime is 47212873. The reversal of 47212872 is 27821274.

It is an interprime number because it is at equal distance from previous prime (47212871) and next prime (47212873).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (47212871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21288 + ... + 23400.

It is an arithmetic number, because the mean of its divisors is an integer number (1506225).

Almost surely, 2^47212872 is an apocalyptic number.

47212872 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 47212872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72298800).

47212872 is an abundant number, since it is smaller than the sum of its proper divisors (97384728).

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

47212872 is a wasteful number, since it uses less digits than its factorization.

47212872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2144 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 47212872 is about 6871.1623470851. The cubic root of 47212872 is about 361.4266230016.

It can be divided in two parts, 47212 and 872, that added together give a palindrome (48084).

The spelling of 47212872 in words is "forty-seven million, two hundred twelve thousand, eight hundred seventy-two".