71691792 has 60 divisors (see below), whose sum is σ = 190519056. Its totient is φ = 23230080.

The previous prime is 71691791. The next prime is 71691877. The reversal of 71691792 is 29719617.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (71691791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65167 + ... + 66257.

Almost surely, 2^71691792 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 71691792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95259528).

71691792 is an abundant number, since it is smaller than the sum of its proper divisors (118827264).

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

71691792 is a wasteful number, since it uses less digits than its factorization.

71691792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1133 counting only the distinct ones).

The product of its digits is 47628, while the sum is 42.

The square root of 71691792 is about 8467.1005663096. The cubic root of 71691792 is about 415.4223058762.

The spelling of 71691792 in words is "seventy-one million, six hundred ninety-one thousand, seven hundred ninety-two".