72367641 has 8 divisors (see below), whose sum is σ = 107211360. Its totient is φ = 48245076.

The previous prime is 72367621. The next prime is 72367643. The reversal of 72367641 is 14676327.

72367641 is a `hidden beast` number, since 7 + 2 + 3 + 6 + 7 + 641 = 666.

It is not a de Polignac number, because 72367641 - 2⁶ = 72367577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72367596 and 72367605.

It is not an unprimeable number, because it can be changed into a prime (72367643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1340115 + ... + 1340168.

It is an arithmetic number, because the mean of its divisors is an integer number (13401420).

Almost surely, 2^72367641 is an apocalyptic number.

It is an amenable number.

72367641 is a deficient number, since it is larger than the sum of its proper divisors (34843719).

72367641 is a wasteful number, since it uses less digits than its factorization.

72367641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680292 (or 2680286 counting only the distinct ones).

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

The square root of 72367641 is about 8506.9172442196. The cubic root of 72367641 is about 416.7236407069.

The spelling of 72367641 in words is "seventy-two million, three hundred sixty-seven thousand, six hundred forty-one".