72368541 has 60 divisors (see below), whose sum is σ = 129775932. Its totient is φ = 38723328.

The previous prime is 72368531. The next prime is 72368551. The reversal of 72368541 is 14586327.

It is an interprime number because it is at equal distance from previous prime (72368531) and next prime (72368551).

It can be written as a sum of positive squares in 2 ways, for example, as 65367225 + 7001316 = 8085^2 + 2646^2 .

It is not a de Polignac number, because 72368541 - 2¹⁰ = 72367517 is a prime.

Its product of digits (40320) is a multiple of the sum of its prime divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 72368496 and 72368505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72368501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 367255 + ... + 367451.

Almost surely, 2^72368541 is an apocalyptic number.

It is an amenable number.

72368541 is a deficient number, since it is larger than the sum of its proper divisors (57407391).

72368541 is a wasteful number, since it uses less digits than its factorization.

72368541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 224 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72368541 is about 8506.9701421834. The cubic root of 72368541 is about 416.7253682273.

The spelling of 72368541 in words is "seventy-two million, three hundred sixty-eight thousand, five hundred forty-one".