71919792 has 160 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 19325952.

The previous prime is 71919791. The next prime is 71919803. The reversal of 71919792 is 29791917.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71919791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50709 + ... + 52107.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^71919792 is an apocalyptic number.

71919792 is a gapful number since it is divisible by the number (72) 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 71919792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

71919792 is an abundant number, since it is smaller than the sum of its proper divisors (178064208).

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

71919792 is a wasteful number, since it uses less digits than its factorization.

71919792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1428 counting only the distinct ones).

The product of its digits is 71442, while the sum is 45.

The square root of 71919792 is about 8480.5537555044. The cubic root of 71919792 is about 415.8622263190.

The spelling of 71919792 in words is "seventy-one million, nine hundred nineteen thousand, seven hundred ninety-two".