71760728 has 64 divisors (see below), whose sum is σ = 151320960. Its totient is φ = 31689216.

The previous prime is 71760719. The next prime is 71760743. The reversal of 71760728 is 82706717.

It is a junction number, because it is equal to n+sod(n) for n = 71760691 and 71760700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258926 + ... + 259202.

It is an arithmetic number, because the mean of its divisors is an integer number (2364390).

Almost surely, 2^71760728 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 71760728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75660480).

71760728 is an abundant number, since it is smaller than the sum of its proper divisors (79560232).

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

71760728 is a wasteful number, since it uses less digits than its factorization.

71760728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 71760728 is about 8471.1704031970. The cubic root of 71760728 is about 415.5554144570. Note that the first 3 decimals are identical.

The spelling of 71760728 in words is "seventy-one million, seven hundred sixty thousand, seven hundred twenty-eight".