72396096 has 56 divisors (see below), whose sum is σ = 193121280. Its totient is φ = 23933952.

The previous prime is 72396091. The next prime is 72396101. The reversal of 72396096 is 69069327.

It is an interprime number because it is at equal distance from previous prime (72396091) and next prime (72396101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72396091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22900 + ... + 25868.

Almost surely, 2^72396096 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 72396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96560640).

72396096 is an abundant number, since it is smaller than the sum of its proper divisors (120725184).

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

72396096 is a wasteful number, since it uses less digits than its factorization.

72396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 72396096 is about 8508.5895423390. The cubic root of 72396096 is about 416.7782522119.

The spelling of 72396096 in words is "seventy-two million, three hundred ninety-six thousand, ninety-six".