72888193 has 8 divisors (see below), whose sum is σ = 84305088. Its totient is φ = 61722384.

The previous prime is 72888149. The next prime is 72888209. The reversal of 72888193 is 39188827.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72888193 is a prime.

It is a super-3 number, since 3×72888193³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72888593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62146 + ... + 63307.

It is an arithmetic number, because the mean of its divisors is an integer number (10538136).

Almost surely, 2^72888193 is an apocalyptic number.

It is an amenable number.

72888193 is a deficient number, since it is larger than the sum of its proper divisors (11416895).

72888193 is a wasteful number, since it uses less digits than its factorization.

72888193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125543.

The product of its digits is 193536, while the sum is 46.

The square root of 72888193 is about 8537.4582283019. The cubic root of 72888193 is about 417.7204410341.

The spelling of 72888193 in words is "seventy-two million, eight hundred eighty-eight thousand, one hundred ninety-three".