72086040 has 192 divisors, whose sum is σ = 256969440. Its totient is φ = 17418240.

The previous prime is 72086009. The next prime is 72086059. The reversal of 72086040 is 4068027.

It is a junction number, because it is equal to n+sod(n) for n = 72085995 and 72086013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341535 + ... + 341745.

Almost surely, 2^72086040 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 72086040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128484720).

72086040 is an abundant number, since it is smaller than the sum of its proper divisors (184883400).

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

72086040 is a wasteful number, since it uses less digits than its factorization.

72086040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72086040 is about 8490.3498161148. The cubic root of 72086040 is about 416.1824119896.

The spelling of 72086040 in words is "seventy-two million, eighty-six thousand, forty".