47902272 has 112 divisors (see below), whose sum is σ = 142231872. Its totient is φ = 14100480.

The previous prime is 47902271. The next prime is 47902273. The reversal of 47902272 is 27220974.

47902272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47902271) and next prime (47902273).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47902271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77838 + ... + 78450.

Almost surely, 2^47902272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71115936).

47902272 is an abundant number, since it is smaller than the sum of its proper divisors (94329600).

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

47902272 is a wasteful number, since it uses less digits than its factorization.

47902272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 47902272 is about 6921.1467257962. The cubic root of 47902272 is about 363.1773071528.

The spelling of 47902272 in words is "forty-seven million, nine hundred two thousand, two hundred seventy-two".