72120567 has 16 divisors (see below), whose sum is σ = 97905920. Its totient is φ = 47215872.

The previous prime is 72120563. The next prime is 72120577. The reversal of 72120567 is 76502127.

It is not a de Polignac number, because 72120567 - 2² = 72120563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72120563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39558 + ... + 41340.

It is an arithmetic number, because the mean of its divisors is an integer number (6119120).

Almost surely, 2^72120567 is an apocalyptic number.

72120567 is a deficient number, since it is larger than the sum of its proper divisors (25785353).

72120567 is a wasteful number, since it uses less digits than its factorization.

72120567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 72120567 is about 8492.3828811471. The cubic root of 72120567 is about 416.2488475831.

The spelling of 72120567 in words is "seventy-two million, one hundred twenty thousand, five hundred sixty-seven".