72771336 has 72 divisors (see below), whose sum is σ = 216660990. Its totient is φ = 22049280.

The previous prime is 72771323. The next prime is 72771383. The reversal of 72771336 is 63317727.

It can be written as a sum of positive squares in only one way, i.e., 57608100 + 15163236 = 7590^2 + 3894^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72771336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4536 + ... + 12888.

Almost surely, 2^72771336 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 72771336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108330495).

72771336 is an abundant number, since it is smaller than the sum of its proper divisors (143889654).

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

72771336 is a wasteful number, since it uses less digits than its factorization.

72771336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387 (or 8369 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 72771336 is about 8530.6117013963. The cubic root of 72771336 is about 417.4970867642.

The spelling of 72771336 in words is "seventy-two million, seven hundred seventy-one thousand, three hundred thirty-six".