72065940 has 48 divisors (see below), whose sum is σ = 203259840. Its totient is φ = 19077120.

The previous prime is 72065921. The next prime is 72065947. The reversal of 72065940 is 4956027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72065947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4020 + ... + 12660.

It is an arithmetic number, because the mean of its divisors is an integer number (4234580).

Almost surely, 2^72065940 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 72065940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101629920).

72065940 is an abundant number, since it is smaller than the sum of its proper divisors (131193900).

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

72065940 is a wasteful number, since it uses less digits than its factorization.

72065940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72065940 is about 8489.1660367789. The cubic root of 72065940 is about 416.1437265330.

The spelling of 72065940 in words is "seventy-two million, sixty-five thousand, nine hundred forty".