47727760 has 40 divisors (see below), whose sum is σ = 115796160. Its totient is φ = 18260352.

The previous prime is 47727751. The next prime is 47727761. The reversal of 47727760 is 6772774.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (47727761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11130 + ... + 14809.

It is an arithmetic number, because the mean of its divisors is an integer number (2894904).

Almost surely, 2^47727760 is an apocalyptic number.

47727760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47727760 is an abundant number, since it is smaller than the sum of its proper divisors (68068400).

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

47727760 is a wasteful number, since it uses less digits than its factorization.

47727760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25975 (or 25969 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The square root of 47727760 is about 6908.5280631984. The cubic root of 47727760 is about 362.7357420210.

The spelling of 47727760 in words is "forty-seven million, seven hundred twenty-seven thousand, seven hundred sixty".