120872567 has 8 divisors (see below), whose sum is σ = 133547616. Its totient is φ = 108815872.

The previous prime is 120872561. The next prime is 120872569. The reversal of 120872567 is 765278021.

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-120872567 is a prime.

It is a super-2 number, since 2×120872567² = 29220354906338978, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120872567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120872561) 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 7 ways as a sum of consecutive naturals, for example, 154178 + ... + 154959.

It is an arithmetic number, because the mean of its divisors is an integer number (16693452).

Almost surely, 2^120872567 is an apocalyptic number.

120872567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

120872567 is a deficient number, since it is larger than the sum of its proper divisors (12675049).

120872567 is a wasteful number, since it uses less digits than its factorization.

120872567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309177.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 120872567 is about 10994.2060650144. The cubic root of 120872567 is about 494.4350484133.

The spelling of 120872567 in words is "one hundred twenty million, eight hundred seventy-two thousand, five hundred sixty-seven".