47129472 has 128 divisors (see below), whose sum is σ = 149940000. Its totient is φ = 14487552.

The previous prime is 47129471. The next prime is 47129473. The reversal of 47129472 is 27492174.

It is an interprime number because it is at equal distance from previous prime (47129471) and next prime (47129473).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47129471) 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, 44404 + ... + 45452.

Almost surely, 2^47129472 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 47129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74970000).

47129472 is an abundant number, since it is smaller than the sum of its proper divisors (102810528).

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

47129472 is a wasteful number, since it uses less digits than its factorization.

47129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1067 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 47129472 is about 6865.0908224145. The cubic root of 47129472 is about 361.2136814500.

The spelling of 47129472 in words is "forty-seven million, one hundred twenty-nine thousand, four hundred seventy-two".