72567461 has 8 divisors (see below), whose sum is σ = 75831360. Its totient is φ = 69312672.

The previous prime is 72567449. The next prime is 72567493. The reversal of 72567461 is 16476527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72567461 - 2²⁶ = 5458597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72567401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17921 + ... + 21593.

It is an arithmetic number, because the mean of its divisors is an integer number (9478920).

Almost surely, 2^72567461 is an apocalyptic number.

It is an amenable number.

72567461 is a deficient number, since it is larger than the sum of its proper divisors (3263899).

72567461 is a wasteful number, since it uses less digits than its factorization.

72567461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555.

The product of its digits is 70560, while the sum is 38.

The square root of 72567461 is about 8518.6537081865. The cubic root of 72567461 is about 417.1068377327.

It can be divided in two parts, 725 and 67461, that added together give a palindrome (68186).

The spelling of 72567461 in words is "seventy-two million, five hundred sixty-seven thousand, four hundred sixty-one".