72863364 has 48 divisors (see below), whose sum is σ = 195270656. Its totient is φ = 20714400.

The previous prime is 72863363. The next prime is 72863387. The reversal of 72863364 is 46336827.

It is not an unprimeable number, because it can be changed into a prime (72863363) by changing a digit.

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, 15669 + ... + 19779.

Almost surely, 2^72863364 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 72863364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97635328).

72863364 is an abundant number, since it is smaller than the sum of its proper divisors (122407292).

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

72863364 is a wasteful number, since it uses less digits than its factorization.

72863364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4334 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 72863364 is about 8536.0039831293. The cubic root of 72863364 is about 417.6730041846.

The spelling of 72863364 in words is "seventy-two million, eight hundred sixty-three thousand, three hundred sixty-four".