71682720 has 192 divisors, whose sum is σ = 242694144. Its totient is φ = 17740800.

The previous prime is 71682713. The next prime is 71682731. The reversal of 71682720 is 2728617.

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, 474645 + ... + 474795.

It is an arithmetic number, because the mean of its divisors is an integer number (1264032).

Almost surely, 2^71682720 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 71682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121347072).

71682720 is an abundant number, since it is smaller than the sum of its proper divisors (171011424).

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

71682720 is a wasteful number, since it uses less digits than its factorization.

71682720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 71682720 is about 8466.5648287839. The cubic root of 71682720 is about 415.4047823911.

It can be divided in two parts, 716 and 82720, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 71682720 in words is "seventy-one million, six hundred eighty-two thousand, seven hundred twenty".