71951616 has 216 divisors, whose sum is σ = 241061184. Its totient is φ = 20398080.

The previous prime is 71951611. The next prime is 71951629. The reversal of 71951616 is 61615917.

It is a happy number.

It is a super-2 number, since 2×71951616² = 10354070090022912, which contains 22 as substring.

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 (71951611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430765 + ... + 430931.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 2^71951616 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 71951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

71951616 is an abundant number, since it is smaller than the sum of its proper divisors (169109568).

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

71951616 is a wasteful number, since it uses less digits than its factorization.

71951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 71951616 is about 8482.4298405587. The cubic root of 71951616 is about 415.9235559733.

The spelling of 71951616 in words is "seventy-one million, nine hundred fifty-one thousand, six hundred sixteen".