47772960 has 48 divisors (see below), whose sum is σ = 150486336. Its totient is φ = 12739328.

The previous prime is 47772931. The next prime is 47772983. The reversal of 47772960 is 6927774.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49284 + ... + 50243.

It is an arithmetic number, because the mean of its divisors is an integer number (3135132).

Almost surely, 2^47772960 is an apocalyptic number.

47772960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47772960 is an abundant number, since it is smaller than the sum of its proper divisors (102713376).

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

47772960 is a wasteful number, since it uses less digits than its factorization.

47772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99545 (or 99537 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 47772960 is about 6911.7986081772. The cubic root of 47772960 is about 362.8502140634.

It can be divided in two parts, 477 and 72960, that added together give a palindrome (73437).

The spelling of 47772960 in words is "forty-seven million, seven hundred seventy-two thousand, nine hundred sixty".