71816760 has 128 divisors (see below), whose sum is σ = 247752000. Its totient is φ = 18482688.

The previous prime is 71816753. The next prime is 71816761. The reversal of 71816760 is 6761817.

It is a happy number.

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 (71816761) 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 31 ways as a sum of consecutive naturals, for example, 30174 + ... + 32466.

Almost surely, 2^71816760 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 71816760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123876000).

71816760 is an abundant number, since it is smaller than the sum of its proper divisors (175935240).

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

71816760 is a wasteful number, since it uses less digits than its factorization.

71816760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71816760 is about 8474.4769750115. The cubic root of 71816760 is about 415.6635439032.

The spelling of 71816760 in words is "seventy-one million, eight hundred sixteen thousand, seven hundred sixty".