47729136 has 160 divisors (see below), whose sum is σ = 155545600. Its totient is φ = 12531456.

The previous prime is 47729131. The next prime is 47729147. The reversal of 47729136 is 63192774.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 47729094 and 47729103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47729131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213921 + ... + 214143.

It is an arithmetic number, because the mean of its divisors is an integer number (972160).

Almost surely, 2^47729136 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 47729136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77772800).

47729136 is an abundant number, since it is smaller than the sum of its proper divisors (107816464).

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

47729136 is a wasteful number, since it uses less digits than its factorization.

47729136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 47729136 is about 6908.6276495408. The cubic root of 47729136 is about 362.7392279000.

The spelling of 47729136 in words is "forty-seven million, seven hundred twenty-nine thousand, one hundred thirty-six".