47272784 has 80 divisors (see below), whose sum is σ = 108274320. Its totient is φ = 19783680.

The previous prime is 47272739. The next prime is 47272787. The reversal of 47272784 is 48727274.

It can be written as a sum of positive squares in 8 ways, for example, as 760384 + 46512400 = 872^2 + 6820^2 .

It is a super-2 number, since 2×47272784² = 4469432214221312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47272787) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 102314 + ... + 102774.

It is an arithmetic number, because the mean of its divisors is an integer number (1353429).

Almost surely, 2^47272784 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 47272784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54137160).

47272784 is an abundant number, since it is smaller than the sum of its proper divisors (61001536).

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

47272784 is a wasteful number, since it uses less digits than its factorization.

47272784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its digits is 175616, while the sum is 41.

The square root of 47272784 is about 6875.5206348320. The cubic root of 47272784 is about 361.5794389463.

The spelling of 47272784 in words is "forty-seven million, two hundred seventy-two thousand, seven hundred eighty-four".