72160640 has 64 divisors (see below), whose sum is σ = 173979360. Its totient is φ = 28618752.

The previous prime is 72160639. The next prime is 72160643. The reversal of 72160640 is 4606127.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72160643) 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, 87269 + ... + 88091.

Almost surely, 2^72160640 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 72160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86989680).

72160640 is an abundant number, since it is smaller than the sum of its proper divisors (101818720).

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

72160640 is a wasteful number, since it uses less digits than its factorization.

72160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 72160640 is about 8494.7419030833. The cubic root of 72160640 is about 416.3259280069.

Adding to 72160640 its reverse (4606127), we get a palindrome (76766767).

The spelling of 72160640 in words is "seventy-two million, one hundred sixty thousand, six hundred forty".