72040696 has 64 divisors (see below), whose sum is σ = 176057280. Its totient is φ = 26818560.

The previous prime is 72040693. The next prime is 72040721. The reversal of 72040696 is 69604027.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72040691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9466 + ... + 15286.

It is an arithmetic number, because the mean of its divisors is an integer number (2750895).

Almost surely, 2^72040696 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 72040696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88028640).

72040696 is an abundant number, since it is smaller than the sum of its proper divisors (104016584).

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

72040696 is a wasteful number, since it uses less digits than its factorization.

72040696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 72040696 is about 8487.6790702759. The cubic root of 72040696 is about 416.0951304876.

The spelling of 72040696 in words is "seventy-two million, forty thousand, six hundred ninety-six".