47872000 has 192 divisors, whose sum is σ = 137985120. Its totient is φ = 16384000.

The previous prime is 47871979. The next prime is 47872021. The reversal of 47872000 is 27874.

It is an interprime number because it is at equal distance from previous prime (47871979) and next prime (47872021).

It is a self number, because there is not a number n which added to its sum of digits gives 47872000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2815992 + ... + 2816008.

Almost surely, 2^47872000 is an apocalyptic number.

47872000 is a gapful number since it is divisible by the number (40) 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 47872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992560).

47872000 is an abundant number, since it is smaller than the sum of its proper divisors (90113120).

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

47872000 is a wasteful number, since it uses less digits than its factorization.

47872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 47872000 is about 6918.9594593407. The cubic root of 47872000 is about 363.1007873294.

Adding to 47872000 its reverse (27874), we get a palindrome (47899874).

The spelling of 47872000 in words is "forty-seven million, eight hundred seventy-two thousand".