72999927 has 128 divisors (see below), whose sum is σ = 151173120. Its totient is φ = 33592320.

The previous prime is 72999923. The next prime is 72999943.

72999927 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72999927 - 2² = 72999923 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72999923) 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 127 ways as a sum of consecutive naturals, for example, 999963 + ... + 1000035.

It is an arithmetic number, because the mean of its divisors is an integer number (1181040).

Almost surely, 2^72999927 is an apocalyptic number.

72999927 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72999927 is an abundant number, since it is smaller than the sum of its proper divisors (78173193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72999927 is a wasteful number, since it uses less digits than its factorization.

72999927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 72999927 is about 8543.9994733146. Note that the first 3 decimals coincide. The cubic root of 72999927 is about 417.9337803268.

It can be divided in two parts, 72 and 999927, that added together give a palindrome (999999).

The spelling of 72999927 in words is "seventy-two million, nine hundred ninety-nine thousand, nine hundred twenty-seven".