72099027 has 96 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 33696000.

The previous prime is 72099019. The next prime is 72099067.

72099027 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72099027 - 2³ = 72099019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72098982 and 72099000.

It is not an unprimeable number, because it can be changed into a prime (72099007) 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 95 ways as a sum of consecutive naturals, for example, 477402 + ... + 477552.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^72099027 is an apocalyptic number.

72099027 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72099027 is a deficient number, since it is larger than the sum of its proper divisors (71311149).

72099027 is a wasteful number, since it uses less digits than its factorization.

72099027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 72099027 is about 8491.1145911476. The cubic root of 72099027 is about 416.2074035896.

The spelling of 72099027 in words is "seventy-two million, ninety-nine thousand, twenty-seven".