47242272 has 216 divisors, whose sum is σ = 160474608. Its totient is φ = 12122880.

The previous prime is 47242271. The next prime is 47242277. The reversal of 47242272 is 27224274.

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 (47242271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 569143 + ... + 569225.

It is an arithmetic number, because the mean of its divisors is an integer number (742938).

Almost surely, 2^47242272 is an apocalyptic number.

47242272 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 47242272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80237304).

47242272 is an abundant number, since it is smaller than the sum of its proper divisors (113232336).

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

47242272 is a wasteful number, since it uses less digits than its factorization.

47242272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its digits is 12544, while the sum is 30.

The square root of 47242272 is about 6873.3013901618. The cubic root of 47242272 is about 361.5016289438.

It can be divided in two parts, 4724 and 2272, that added together give a palindrome (6996).

The spelling of 47242272 in words is "forty-seven million, two hundred forty-two thousand, two hundred seventy-two".