71632680 has 128 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 16054272.

The previous prime is 71632651. The next prime is 71632709. The reversal of 71632680 is 8623617.

It is an interprime number because it is at equal distance from previous prime (71632651) and next prime (71632709).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43716 + ... + 45324.

It is an arithmetic number, because the mean of its divisors is an integer number (1956150).

Almost surely, 2^71632680 is an apocalyptic number.

71632680 is a gapful number since it is divisible by the number (70) 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 71632680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

71632680 is an abundant number, since it is smaller than the sum of its proper divisors (178754520).

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

71632680 is a wasteful number, since it uses less digits than its factorization.

71632680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 71632680 is about 8463.6091592181. The cubic root of 71632680 is about 415.3080984943.

The spelling of 71632680 in words is "seventy-one million, six hundred thirty-two thousand, six hundred eighty".