47232000 has 264 divisors, whose sum is σ = 174355272. Its totient is φ = 12288000.

The previous prime is 47231999. The next prime is 47232011. The reversal of 47232000 is 23274.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 36578304 = 3264^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151980 + ... + 1152020.

Almost surely, 2^47232000 is an apocalyptic number.

47232000 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 47232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87177636).

47232000 is an abundant number, since it is smaller than the sum of its proper divisors (127123272).

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

47232000 is a wasteful number, since it uses less digits than its factorization.

47232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 47232000 is about 6872.5541103726. The cubic root of 47232000 is about 361.4754263238.

Adding to 47232000 its reverse (23274), we get a palindrome (47255274).

The spelling of 47232000 in words is "forty-seven million, two hundred thirty-two thousand".