47745792 has 216 divisors, whose sum is σ = 154967904. Its totient is φ = 14057472.

The previous prime is 47745791. The next prime is 47745793. The reversal of 47745792 is 29754774.

47745792 is a `hidden beast` number, since 4 + 7 + 74 + 579 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (47745791) and next prime (47745793).

Its product of digits (493920) is a multiple of the sum of its prime divisors (98).

It is not an unprimeable number, because it can be changed into a prime (47745791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900838 + ... + 900890.

It is an arithmetic number, because the mean of its divisors is an integer number (717444).

Almost surely, 2^47745792 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 47745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77483952).

47745792 is an abundant number, since it is smaller than the sum of its proper divisors (107222112).

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

47745792 is a wasteful number, since it uses less digits than its factorization.

47745792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 47745792 is about 6909.8329936403. The cubic root of 47745792 is about 362.7814179361.

The spelling of 47745792 in words is "forty-seven million, seven hundred forty-five thousand, seven hundred ninety-two".