71845380 has 72 divisors (see below), whose sum is σ = 226017792. Its totient is φ = 19157472.

The previous prime is 71845357. The next prime is 71845387. The reversal of 71845380 is 8354817.

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

It is not an unprimeable number, because it can be changed into a prime (71845387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2532 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (3139136).

Almost surely, 2^71845380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71845380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113008896).

71845380 is an abundant number, since it is smaller than the sum of its proper divisors (154172412).

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

71845380 is a wasteful number, since it uses less digits than its factorization.

71845380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14807 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 71845380 is about 8476.1654065975. The cubic root of 71845380 is about 415.7187525141.

The spelling of 71845380 in words is "seventy-one million, eight hundred forty-five thousand, three hundred eighty".