72766267 has 16 divisors (see below), whose sum is σ = 86413824. Its totient is φ = 59976000.

The previous prime is 72766241. The next prime is 72766279. The reversal of 72766267 is 76266727.

It is a happy number.

It is not a de Polignac number, because 72766267 - 2⁷ = 72766139 is a prime.

It is a super-2 number, since 2×72766267² = 10589859226230578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72766367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18592 + ... + 22162.

It is an arithmetic number, because the mean of its divisors is an integer number (5400864).

Almost surely, 2^72766267 is an apocalyptic number.

72766267 is a deficient number, since it is larger than the sum of its proper divisors (13647557).

72766267 is a wasteful number, since it uses less digits than its factorization.

72766267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690.

The product of its digits is 296352, while the sum is 43.

The square root of 72766267 is about 8530.3145897440. The cubic root of 72766267 is about 417.4873927373.

The spelling of 72766267 in words is "seventy-two million, seven hundred sixty-six thousand, two hundred sixty-seven".