72289540 has 12 divisors (see below), whose sum is σ = 151808076. Its totient is φ = 28915808.

The previous prime is 72289531. The next prime is 72289549. The reversal of 72289540 is 4598227.

It is an interprime number because it is at equal distance from previous prime (72289531) and next prime (72289549).

It can be written as a sum of positive squares in 2 ways, for example, as 57032704 + 15256836 = 7552^2 + 3906^2 .

It is a super-3 number, since 3×72289540³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72289540.

It is not an unprimeable number, because it can be changed into a prime (72289549) 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, 1807219 + ... + 1807258.

It is an arithmetic number, because the mean of its divisors is an integer number (12650673).

Almost surely, 2^72289540 is an apocalyptic number.

It is an amenable number.

72289540 is an abundant number, since it is smaller than the sum of its proper divisors (79518536).

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

72289540 is a wasteful number, since it uses less digits than its factorization.

72289540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614486 (or 3614484 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 72289540 is about 8502.3255642207. The cubic root of 72289540 is about 416.5736738249.

The spelling of 72289540 in words is "seventy-two million, two hundred eighty-nine thousand, five hundred forty".