72771012 has 72 divisors (see below), whose sum is σ = 191423232. Its totient is φ = 23284800.

The previous prime is 72771001. The next prime is 72771019. The reversal of 72771012 is 21017727.

It is not an unprimeable number, because it can be changed into a prime (72771019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219687 + ... + 220017.

It is an arithmetic number, because the mean of its divisors is an integer number (2658656).

Almost surely, 2^72771012 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 72771012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95711616).

72771012 is an abundant number, since it is smaller than the sum of its proper divisors (118652220).

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

72771012 is a wasteful number, since it uses less digits than its factorization.

72771012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 72771012 is about 8530.5927109434. The cubic root of 72771012 is about 417.4964671555.

Adding to 72771012 its reverse (21017727), we get a palindrome (93788739).

The spelling of 72771012 in words is "seventy-two million, seven hundred seventy-one thousand, twelve".