72787940 has 12 divisors (see below), whose sum is σ = 152854716. Its totient is φ = 29115168.

The previous prime is 72787919. The next prime is 72787943. The reversal of 72787940 is 4978727.

It can be written as a sum of positive squares in 2 ways, for example, as 55681444 + 17106496 = 7462^2 + 4136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72787891 and 72787900.

It is not an unprimeable number, because it can be changed into a prime (72787943) 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, 1819679 + ... + 1819718.

It is an arithmetic number, because the mean of its divisors is an integer number (12737893).

Almost surely, 2^72787940 is an apocalyptic number.

It is an amenable number.

72787940 is an abundant number, since it is smaller than the sum of its proper divisors (80066776).

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

72787940 is a wasteful number, since it uses less digits than its factorization.

72787940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639406 (or 3639404 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The square root of 72787940 is about 8531.5848469086. The cubic root of 72787940 is about 417.5288373355.

The spelling of 72787940 in words is "seventy-two million, seven hundred eighty-seven thousand, nine hundred forty".