72812064 has 96 divisors (see below), whose sum is σ = 211002624. Its totient is φ = 21841920.

The previous prime is 72812063. The next prime is 72812083. The reversal of 72812064 is 46021827.

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

It is not an unprimeable number, because it can be changed into a prime (72812063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50457 + ... + 51879.

It is an arithmetic number, because the mean of its divisors is an integer number (2197944).

Almost surely, 2^72812064 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 72812064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105501312).

72812064 is an abundant number, since it is smaller than the sum of its proper divisors (138190560).

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

72812064 is a wasteful number, since it uses less digits than its factorization.

72812064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72812064 is about 8532.9985350989. The cubic root of 72812064 is about 417.5749592301.

The spelling of 72812064 in words is "seventy-two million, eight hundred twelve thousand, sixty-four".