71144892 has 240 divisors, whose sum is σ = 242851840. Its totient is φ = 17635968.

The previous prime is 71144891. The next prime is 71144893. The reversal of 71144892 is 29844117.

It is an interprime number because it is at equal distance from previous prime (71144891) and next prime (71144893).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71144891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 560133 + ... + 560259.

Almost surely, 2^71144892 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 71144892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121425920).

71144892 is an abundant number, since it is smaller than the sum of its proper divisors (171706948).

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

71144892 is a wasteful number, since it uses less digits than its factorization.

71144892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 71144892 is about 8434.7431496164. The cubic root of 71144892 is about 414.3632602477.

The spelling of 71144892 in words is "seventy-one million, one hundred forty-four thousand, eight hundred ninety-two".