72336672 has 96 divisors (see below), whose sum is σ = 218332800. Its totient is φ = 23272704.

The previous prime is 72336637. The next prime is 72336689. The reversal of 72336672 is 27663327.

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

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

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 15 ways as a sum of consecutive naturals, for example, 23613 + ... + 26499.

It is an arithmetic number, because the mean of its divisors is an integer number (2274300).

Almost surely, 2^72336672 is an apocalyptic number.

72336672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72336672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109166400).

72336672 is an abundant number, since it is smaller than the sum of its proper divisors (145996128).

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

72336672 is a wasteful number, since it uses less digits than its factorization.

72336672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2921 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 72336672 is about 8505.0968248457. The cubic root of 72336672 is about 416.6641880030.

Adding to 72336672 its reverse (27663327), we get a palindrome (99999999).

The spelling of 72336672 in words is "seventy-two million, three hundred thirty-six thousand, six hundred seventy-two".