72806040 has 160 divisors (see below), whose sum is σ = 255610080. Its totient is φ = 18551808.

The previous prime is 72806029. The next prime is 72806057. The reversal of 72806040 is 4060827.

72806040 = T₄₃₆ + T₄₃₇ + ... + T₈₀₃.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72805995 and 72806013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74032 + ... + 75008.

It is an arithmetic number, because the mean of its divisors is an integer number (1597563).

Almost surely, 2^72806040 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 72806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127805040).

72806040 is an abundant number, since it is smaller than the sum of its proper divisors (182804040).

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

72806040 is a wasteful number, since it uses less digits than its factorization.

72806040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1010 counting only the distinct ones).

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

The square root of 72806040 is about 8532.6455451987. The cubic root of 72806040 is about 417.5634430940.

Adding to 72806040 its reverse (4060827), we get a palindrome (76866867).

The spelling of 72806040 in words is "seventy-two million, eight hundred six thousand, forty".