72396864 has 168 divisors, whose sum is σ = 220837760. Its totient is φ = 22643712.

The previous prime is 72396853. The next prime is 72396869. The reversal of 72396864 is 46869327.

It is not an unprimeable number, because it can be changed into a prime (72396869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916377 + ... + 916455.

Almost surely, 2^72396864 is an apocalyptic number.

72396864 is a gapful number since it is divisible by the number (74) 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 72396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110418880).

72396864 is an abundant number, since it is smaller than the sum of its proper divisors (148440896).

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

72396864 is a wasteful number, since it uses less digits than its factorization.

72396864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 72396864 is about 8508.6346730836. The cubic root of 72396864 is about 416.7797259772.

The spelling of 72396864 in words is "seventy-two million, three hundred ninety-six thousand, eight hundred sixty-four".