72369664 has 40 divisors (see below), whose sum is σ = 146059848. Its totient is φ = 35819520.

The previous prime is 72369653. The next prime is 72369667. The reversal of 72369664 is 46696327.

It is a self number, because there is not a number n which added to its sum of digits gives 72369664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72369667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54124 + ... + 55444.

Almost surely, 2^72369664 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 72369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73029924).

72369664 is an abundant number, since it is smaller than the sum of its proper divisors (73690184).

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

72369664 is a wasteful number, since it uses less digits than its factorization.

72369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1430 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The square root of 72369664 is about 8507.0361466259. The cubic root of 72369664 is about 416.7275237687.

It can be divided in two parts, 7236 and 9664, that added together give a square (16900 = 130²).

The spelling of 72369664 in words is "seventy-two million, three hundred sixty-nine thousand, six hundred sixty-four".