47129760 has 144 divisors (see below), whose sum is σ = 167940864. Its totient is φ = 12013056.

The previous prime is 47129717. The next prime is 47129801. The reversal of 47129760 is 6792174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 32409 + ... + 33831.

It is an arithmetic number, because the mean of its divisors is an integer number (1166256).

Almost surely, 2^47129760 is an apocalyptic number.

47129760 is a gapful number since it is divisible by the number (40) 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 47129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83970432).

47129760 is an abundant number, since it is smaller than the sum of its proper divisors (120811104).

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

47129760 is a wasteful number, since it uses less digits than its factorization.

47129760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 47129760 is about 6865.1117980700. Note that the first 3 decimals coincide. The cubic root of 47129760 is about 361.2144172198.

The spelling of 47129760 in words is "forty-seven million, one hundred twenty-nine thousand, seven hundred sixty".