47692512 has 144 divisors (see below), whose sum is σ = 159056352. Its totient is φ = 13271040.

The previous prime is 47692511. The next prime is 47692517. The reversal of 47692512 is 21529674.

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

It is a hoax number, since the sum of its digits (36) 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 (36).

Its product of digits (30240) is a multiple of the sum of its prime divisors (630).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47692511) 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, 82368 + ... + 82944.

It is an arithmetic number, because the mean of its divisors is an integer number (1104558).

Almost surely, 2^47692512 is an apocalyptic number.

47692512 is a gapful number since it is divisible by the number (42) 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 47692512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79528176).

47692512 is an abundant number, since it is smaller than the sum of its proper divisors (111363840).

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

47692512 is a wasteful number, since it uses less digits than its factorization.

47692512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 47692512 is about 6905.9765420974. The cubic root of 47692512 is about 362.6464239230.

The spelling of 47692512 in words is "forty-seven million, six hundred ninety-two thousand, five hundred twelve".