47721312 has 216 divisors, whose sum is σ = 157267656. Its totient is φ = 14183424.

The previous prime is 47721287. The next prime is 47721367. The reversal of 47721312 is 21312774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 2511639 + ... + 2511657.

It is an arithmetic number, because the mean of its divisors is an integer number (728091).

Almost surely, 2^47721312 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 47721312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78633828).

47721312 is an abundant number, since it is smaller than the sum of its proper divisors (109546344).

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

47721312 is a wasteful number, since it uses less digits than its factorization.

47721312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 47721312 is about 6908.0613778397. The cubic root of 47721312 is about 362.7194061374.

It can be divided in two parts, 4772 and 1312, that added together give a square (6084 = 78²).

The spelling of 47721312 in words is "forty-seven million, seven hundred twenty-one thousand, three hundred twelve".