47133072 has 240 divisors, whose sum is σ = 167132160. Its totient is φ = 12089088.

The previous prime is 47133071. The next prime is 47133077. The reversal of 47133072 is 27033174.

It is not an unprimeable number, because it can be changed into a prime (47133071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440443 + ... + 440549.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^47133072 is an apocalyptic number.

47133072 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 47133072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

47133072 is an abundant number, since it is smaller than the sum of its proper divisors (119999088).

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

47133072 is a wasteful number, since it uses less digits than its factorization.

47133072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 47133072 is about 6865.3530135019. The cubic root of 47133072 is about 361.2228783572. Note that the first 3 decimals are identical.

The spelling of 47133072 in words is "forty-seven million, one hundred thirty-three thousand, seventy-two".