47536000 has 64 divisors (see below), whose sum is σ = 118226160. Its totient is φ = 19008000.

The previous prime is 47535997. The next prime is 47536003. The reversal of 47536000 is 63574.

It is an interprime number because it is at equal distance from previous prime (47535997) and next prime (47536003).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47536003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14515 + ... + 17485.

Almost surely, 2^47536000 is an apocalyptic number.

47536000 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 47536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59113080).

47536000 is an abundant number, since it is smaller than the sum of its proper divisors (70690160).

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

47536000 is an equidigital number, since it uses as much as digits as its factorization.

47536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 47536000 is about 6894.6355958818. The cubic root of 47536000 is about 362.2492915704.

Adding to 47536000 its reverse (63574), we get a palindrome (47599574).

The spelling of 47536000 in words is "forty-seven million, five hundred thirty-six thousand".