72775936 has 36 divisors (see below), whose sum is σ = 147470512. Its totient is φ = 35836416.

The previous prime is 72775931. The next prime is 72775957. The reversal of 72775936 is 63957727.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72775931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15031 + ... + 19273.

Almost surely, 2^72775936 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 72775936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73735256).

72775936 is an abundant number, since it is smaller than the sum of its proper divisors (74694576).

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

72775936 is an equidigital number, since it uses as much as digits as its factorization.

72775936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4312 counting only the distinct ones).

The product of its digits is 555660, while the sum is 46.

The square root of 72775936 is about 8530.8813143778. The cubic root of 72775936 is about 417.5058834793.

The spelling of 72775936 in words is "seventy-two million, seven hundred seventy-five thousand, nine hundred thirty-six".