72057940 has 12 divisors (see below), whose sum is σ = 151321716. Its totient is φ = 28823168.

The previous prime is 72057929. The next prime is 72057941. The reversal of 72057940 is 4975027.

It can be written as a sum of positive squares in 2 ways, for example, as 47969476 + 24088464 = 6926^2 + 4908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72057896 and 72057905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72057941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1801429 + ... + 1801468.

It is an arithmetic number, because the mean of its divisors is an integer number (12610143).

Almost surely, 2^72057940 is an apocalyptic number.

It is an amenable number.

72057940 is an abundant number, since it is smaller than the sum of its proper divisors (79263776).

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

72057940 is a wasteful number, since it uses less digits than its factorization.

72057940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602906 (or 3602904 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72057940 is about 8488.6948348966. The cubic root of 72057940 is about 416.1283273352.

The spelling of 72057940 in words is "seventy-two million, fifty-seven thousand, nine hundred forty".