72180767 has 4 divisors (see below), whose sum is σ = 73716576. Its totient is φ = 70644960.

The previous prime is 72180737. The next prime is 72180769. The reversal of 72180767 is 76708127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76708127 = 127 ⋅604001.

It is a cyclic number.

It is not a de Polignac number, because 72180767 - 2¹⁰ = 72179743 is a prime.

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 72180767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72180769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 767834 + ... + 767927.

It is an arithmetic number, because the mean of its divisors is an integer number (18429144).

Almost surely, 2^72180767 is an apocalyptic number.

72180767 is a deficient number, since it is larger than the sum of its proper divisors (1535809).

72180767 is a wasteful number, since it uses less digits than its factorization.

72180767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535808.

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 72180767 is about 8495.9264945031. The cubic root of 72180767 is about 416.3646315301.

The spelling of 72180767 in words is "seventy-two million, one hundred eighty thousand, seven hundred sixty-seven".