47830272 has 216 divisors, whose sum is σ = 156586752. Its totient is φ = 12902400.

The previous prime is 47830261. The next prime is 47830337. The reversal of 47830272 is 27203874.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1166572 + ... + 1166612.

Almost surely, 2^47830272 is an apocalyptic number.

47830272 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 47830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78293376).

47830272 is an abundant number, since it is smaller than the sum of its proper divisors (108756480).

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

47830272 is a wasteful number, since it uses less digits than its factorization.

47830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 47830272 is about 6915.9433196058. The cubic root of 47830272 is about 362.9952567890.

The spelling of 47830272 in words is "forty-seven million, eight hundred thirty thousand, two hundred seventy-two".