71728776 has 48 divisors (see below), whose sum is σ = 222019200. Its totient is φ = 20493792.

The previous prime is 71728771. The next prime is 71728777. The reversal of 71728776 is 67782717.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a cake number, because a cake can be divided into 71728776 parts by 755 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (71728771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70656 + ... + 71663.

It is an arithmetic number, because the mean of its divisors is an integer number (4625400).

Almost surely, 2^71728776 is an apocalyptic number.

It is an amenable number.

71728776 is an abundant number, since it is smaller than the sum of its proper divisors (150290424).

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

71728776 is a wasteful number, since it uses less digits than its factorization.

71728776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142338 (or 142331 counting only the distinct ones).

The product of its digits is 230496, while the sum is 45.

The square root of 71728776 is about 8469.2842672802. The cubic root of 71728776 is about 415.4937289170.

The spelling of 71728776 in words is "seventy-one million, seven hundred twenty-eight thousand, seven hundred seventy-six".