47729472 has 112 divisors (see below), whose sum is σ = 152887680. Its totient is φ = 12828672.

The previous prime is 47729467. The next prime is 47729551. The reversal of 47729472 is 27492774.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21804 + ... + 23892.

Almost surely, 2^47729472 is an apocalyptic number.

47729472 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 47729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76443840).

47729472 is an abundant number, since it is smaller than the sum of its proper divisors (105158208).

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

47729472 is a wasteful number, since it uses less digits than its factorization.

47729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 47729472 is about 6908.6519669180. The cubic root of 47729472 is about 362.7400790928.

The spelling of 47729472 in words is "forty-seven million, seven hundred twenty-nine thousand, four hundred seventy-two".