72836064 has 96 divisors (see below), whose sum is σ = 242807040. Its totient is φ = 20808576.

The previous prime is 72836059. The next prime is 72836111. The reversal of 72836064 is 46063827.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (2529240).

Almost surely, 2^72836064 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 72836064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121403520).

72836064 is an abundant number, since it is smaller than the sum of its proper divisors (169970976).

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

72836064 is a wasteful number, since it uses less digits than its factorization.

72836064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12069 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72836064 is about 8534.4047244081. The cubic root of 72836064 is about 417.6208339454.

The spelling of 72836064 in words is "seventy-two million, eight hundred thirty-six thousand, sixty-four".