72801267 has 32 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 37470720.

The previous prime is 72801257. The next prime is 72801301. The reversal of 72801267 is 76210827.

It is not a de Polignac number, because 72801267 - 2⁷ = 72801139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72801227) 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 31 ways as a sum of consecutive naturals, for example, 24709 + ... + 27497.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2^72801267 is an apocalyptic number.

72801267 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72801267 is a deficient number, since it is larger than the sum of its proper divisors (49333773).

72801267 is a wasteful number, since it uses less digits than its factorization.

72801267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 72801267 is about 8532.3658501028. The cubic root of 72801267 is about 417.5543180550.

The spelling of 72801267 in words is "seventy-two million, eight hundred one thousand, two hundred sixty-seven".