72036096 has 72 divisors (see below), whose sum is σ = 209174784. Its totient is φ = 21826560.

The previous prime is 72036091. The next prime is 72036113. The reversal of 72036096 is 69063027.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72036091) 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, 4185 + ... + 12711.

Almost surely, 2^72036096 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 72036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104587392).

72036096 is an abundant number, since it is smaller than the sum of its proper divisors (137138688).

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

72036096 is a wasteful number, since it uses less digits than its factorization.

72036096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8557 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 72036096 is about 8487.4080849220. The cubic root of 72036096 is about 416.0862740197.

The spelling of 72036096 in words is "seventy-two million, thirty-six thousand, ninety-six".