72368496 has 60 divisors (see below), whose sum is σ = 203315112. Its totient is φ = 24029568.

The previous prime is 72368489. The next prime is 72368497. The reversal of 72368496 is 69486327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72368497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43390 + ... + 45026.

Almost surely, 2^72368496 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 72368496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101657556).

72368496 is an abundant number, since it is smaller than the sum of its proper divisors (130946616).

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

72368496 is a wasteful number, since it uses less digits than its factorization.

72368496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1949 counting only the distinct ones).

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

The square root of 72368496 is about 8506.9674972930. The cubic root of 72368496 is about 416.7252818516.

The spelling of 72368496 in words is "seventy-two million, three hundred sixty-eight thousand, four hundred ninety-six".