47385072 has 120 divisors (see below), whose sum is σ = 156879840. Its totient is φ = 13063680.

The previous prime is 47385067. The next prime is 47385077. The reversal of 47385072 is 27058374.

It is an interprime number because it is at equal distance from previous prime (47385067) and next prime (47385077).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47385077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28422 + ... + 30042.

It is an arithmetic number, because the mean of its divisors is an integer number (1307332).

Almost surely, 2^47385072 is an apocalyptic number.

47385072 is a gapful number since it is divisible by the number (42) 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 47385072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78439920).

47385072 is an abundant number, since it is smaller than the sum of its proper divisors (109494768).

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

47385072 is a wasteful number, since it uses less digits than its factorization.

47385072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 47385072 is about 6883.6815731119. The cubic root of 47385072 is about 361.8655015539.

The spelling of 47385072 in words is "forty-seven million, three hundred eighty-five thousand, seventy-two".