71846016 has 128 divisors (see below), whose sum is σ = 211947840. Its totient is φ = 21381120.

The previous prime is 71846009. The next prime is 71846023. The reversal of 71846016 is 61064817.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71846009) and next prime (71846023).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308236 + ... + 308468.

Almost surely, 2^71846016 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 71846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105973920).

71846016 is an abundant number, since it is smaller than the sum of its proper divisors (140101824).

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

71846016 is a wasteful number, since it uses less digits than its factorization.

71846016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 71846016 is about 8476.2029234794. The cubic root of 71846016 is about 415.7199792056.

The spelling of 71846016 in words is "seventy-one million, eight hundred forty-six thousand, sixteen".