47072000 has 72 divisors (see below), whose sum is σ = 117341952. Its totient is φ = 18816000.

The previous prime is 47071951. The next prime is 47072009. The reversal of 47072000 is 27074.

It is a hoax number, since the sum of its digits (20) 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 (20).

It is not an unprimeable number, because it can be changed into a prime (47072009) 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, 31265 + ... + 32735.

Almost surely, 2^47072000 is an apocalyptic number.

47072000 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 47072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58670976).

47072000 is an abundant number, since it is smaller than the sum of its proper divisors (70269952).

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

47072000 is an equidigital number, since it uses as much as digits as its factorization.

47072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 47072000 is about 6860.9037305591. The cubic root of 47072000 is about 361.0667944739.

Adding to 47072000 its reverse (27074), we get a palindrome (47099074).

The spelling of 47072000 in words is "forty-seven million, seventy-two thousand".