71936640 has 256 divisors, whose sum is σ = 267321600. Its totient is φ = 18247680.

The previous prime is 71936633. The next prime is 71936651. The reversal of 71936640 is 4663917.

71936640 is a `hidden beast` number, since 7 + 1 + 9 + 3 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71936595 and 71936604.

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, 397350 + ... + 397530.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^71936640 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 71936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

71936640 is an abundant number, since it is smaller than the sum of its proper divisors (195384960).

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

71936640 is a wasteful number, since it uses less digits than its factorization.

71936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 71936640 is about 8481.5470286971. The cubic root of 71936640 is about 415.8946972127.

The spelling of 71936640 in words is "seventy-one million, nine hundred thirty-six thousand, six hundred forty".