71131392 has 144 divisors (see below), whose sum is σ = 216336960. Its totient is φ = 23040000.

The previous prime is 71131369. The next prime is 71131397. The reversal of 71131392 is 29313117.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71131397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283267 + ... + 283517.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340).

Almost surely, 2^71131392 is an apocalyptic number.

71131392 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 71131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108168480).

71131392 is an abundant number, since it is smaller than the sum of its proper divisors (145205568).

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

71131392 is a wasteful number, since it uses less digits than its factorization.

71131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 71131392 is about 8433.9428501739. The cubic root of 71131392 is about 414.3370496151.

The spelling of 71131392 in words is "seventy-one million, one hundred thirty-one thousand, three hundred ninety-two".