71801712 has 90 divisors (see below), whose sum is σ = 207232272. Its totient is φ = 23197248.

The previous prime is 71801711. The next prime is 71801713. The reversal of 71801712 is 21710817.

It is an interprime number because it is at equal distance from previous prime (71801711) and next prime (71801713).

It is a super-2 number, since 2×71801712² = 10310971692261888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71801711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 697053 + ... + 697155.

Almost surely, 2^71801712 is an apocalyptic number.

71801712 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 71801712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103616136).

71801712 is an abundant number, since it is smaller than the sum of its proper divisors (135430560).

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

71801712 is a wasteful number, since it uses less digits than its factorization.

71801712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 71801712 is about 8473.5890860957. The cubic root of 71801712 is about 415.6345100958.

The spelling of 71801712 in words is "seventy-one million, eight hundred one thousand, seven hundred twelve".