72608671 has 8 divisors (see below), whose sum is σ = 77220080. Its totient is φ = 68076288.

The previous prime is 72608659. The next prime is 72608719. The reversal of 72608671 is 17680627.

It is a happy number.

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 72608671 - 2¹¹ = 72606623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72608671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72608611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17856 + ... + 21541.

It is an arithmetic number, because the mean of its divisors is an integer number (9652510).

Almost surely, 2^72608671 is an apocalyptic number.

72608671 is a deficient number, since it is larger than the sum of its proper divisors (4611409).

72608671 is a wasteful number, since it uses less digits than its factorization.

72608671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39513.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 72608671 is about 8521.0721743217. The cubic root of 72608671 is about 417.1857790827.

It can be divided in two parts, 7260 and 8671, that added together give a triangular number (15931 = T₁₇₈).

The spelling of 72608671 in words is "seventy-two million, six hundred eight thousand, six hundred seventy-one".