72716436 has 36 divisors (see below), whose sum is σ = 197951572. Its totient is φ = 22374144.

The previous prime is 72716389. The next prime is 72716459. The reversal of 72716436 is 63461727.

72716436 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 643 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34152336 + 38564100 = 5844^2 + 6210^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72716436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77221 + ... + 78156.

Almost surely, 2^72716436 is an apocalyptic number.

It is an amenable number.

72716436 is an abundant number, since it is smaller than the sum of its proper divisors (125235136).

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

72716436 is a wasteful number, since it uses less digits than its factorization.

72716436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155400 (or 155395 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 72716436 is about 8527.3932710999. The cubic root of 72716436 is about 417.3920712565.

The spelling of 72716436 in words is "seventy-two million, seven hundred sixteen thousand, four hundred thirty-six".