47972600 has 48 divisors (see below), whose sum is σ = 120122520. Its totient is φ = 17712000.

The previous prime is 47972581. The next prime is 47972621. The reversal of 47972600 is 627974.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6626 + ... + 11825.

Almost surely, 2^47972600 is an apocalyptic number.

47972600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47972600 is an abundant number, since it is smaller than the sum of its proper divisors (72149920).

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

47972600 is a wasteful number, since it uses less digits than its factorization.

47972600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18480 (or 18471 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 47972600 is about 6926.2255233280. The cubic root of 47972600 is about 363.3549538706.

The spelling of 47972600 in words is "forty-seven million, nine hundred seventy-two thousand, six hundred".