72670567 has 8 divisors (see below), whose sum is σ = 73710000. Its totient is φ = 71635200.

The previous prime is 72670561. The next prime is 72670583. The reversal of 72670567 is 76507627.

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 72670567 - 2¹⁹ = 72146279 is a prime.

It is a super-2 number, since 2×72670567² = 10562022616202978, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72670561) 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, 57559 + ... + 58807.

It is an arithmetic number, because the mean of its divisors is an integer number (9213750).

Almost surely, 2^72670567 is an apocalyptic number.

72670567 is a deficient number, since it is larger than the sum of its proper divisors (1039433).

72670567 is a wasteful number, since it uses less digits than its factorization.

72670567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033.

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 72670567 is about 8524.7033379467. The cubic root of 72670567 is about 417.3042901671.

It can be divided in two parts, 72670 and 567, that added together give a palindrome (73237).

The spelling of 72670567 in words is "seventy-two million, six hundred seventy thousand, five hundred sixty-seven".