72393696 has 96 divisors (see below), whose sum is σ = 220389120. Its totient is φ = 23075712.

The previous prime is 72393689. The next prime is 72393709. The reversal of 72393696 is 69639327.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18051 + ... + 21693.

It is an arithmetic number, because the mean of its divisors is an integer number (2295720).

Almost surely, 2^72393696 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 72393696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110194560).

72393696 is an abundant number, since it is smaller than the sum of its proper divisors (147995424).

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

72393696 is a wasteful number, since it uses less digits than its factorization.

72393696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3671 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 72393696 is about 8508.4485072192. The cubic root of 72393696 is about 416.7736466281.

The spelling of 72393696 in words is "seventy-two million, three hundred ninety-three thousand, six hundred ninety-six".