72264096 has 48 divisors (see below), whose sum is σ = 210772800. Its totient is φ = 24087744.

The previous prime is 72264067. The next prime is 72264097. The reversal of 72264096 is 69046227.

It is a happy number.

72264096 is a `hidden beast` number, since 7 + 2 + 2 + 640 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 72264096.

It is not an unprimeable number, because it can be changed into a prime (72264097) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40956 + ... + 42683.

It is an arithmetic number, because the mean of its divisors is an integer number (4391100).

Almost surely, 2^72264096 is an apocalyptic number.

It is an amenable number.

72264096 is an abundant number, since it is smaller than the sum of its proper divisors (138508704).

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

72264096 is a wasteful number, since it uses less digits than its factorization.

72264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83658 (or 83644 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72264096 is about 8500.8291360314. The cubic root of 72264096 is about 416.5247937963.

The spelling of 72264096 in words is "seventy-two million, two hundred sixty-four thousand, ninety-six".