71618976 has 288 divisors, whose sum is σ = 250967808. Its totient is φ = 19077120.

The previous prime is 71618969. The next prime is 71618993. The reversal of 71618976 is 67981617.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523785 + ... + 1523831.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^71618976 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 71618976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

71618976 is an abundant number, since it is smaller than the sum of its proper divisors (179348832).

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

71618976 is a wasteful number, since it uses less digits than its factorization.

71618976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 71618976 is about 8462.7995367963. The cubic root of 71618976 is about 415.2816127005.

The spelling of 71618976 in words is "seventy-one million, six hundred eighteen thousand, nine hundred seventy-six".