71940384 has 72 divisors (see below), whose sum is σ = 215364240. Its totient is φ = 22716288.

The previous prime is 71940373. The next prime is 71940397. The reversal of 71940384 is 48304917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102 + ... + 12045.

It is an arithmetic number, because the mean of its divisors is an integer number (2991170).

Almost surely, 2^71940384 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 71940384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107682120).

71940384 is an abundant number, since it is smaller than the sum of its proper divisors (143423856).

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

71940384 is a wasteful number, since it uses less digits than its factorization.

71940384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13182 (or 13171 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 71940384 is about 8481.7677402768. The cubic root of 71940384 is about 415.9019122783.

The spelling of 71940384 in words is "seventy-one million, nine hundred forty thousand, three hundred eighty-four".