71214192 has 240 divisors, whose sum is σ = 245127168. Its totient is φ = 18869760.

The previous prime is 71214163. The next prime is 71214197. The reversal of 71214192 is 29141217.

71214192 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×71214192² = 10142922284425728, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71214197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343638 + ... + 1343690.

Almost surely, 2^71214192 is an apocalyptic number.

71214192 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 71214192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

71214192 is an abundant number, since it is smaller than the sum of its proper divisors (173912976).

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

71214192 is a wasteful number, since it uses less digits than its factorization.

71214192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 71214192 is about 8438.8501586413. The cubic root of 71214192 is about 414.4977559910.

The spelling of 71214192 in words is "seventy-one million, two hundred fourteen thousand, one hundred ninety-two".