72117783 has 14 divisors (see below), whose sum is σ = 108128304. Its totient is φ = 48078036.

The previous prime is 72117769. The next prime is 72117797. The reversal of 72117783 is 38771127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72117769) and next prime (72117797).

It is not a de Polignac number, because 72117783 - 2⁴ = 72117767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72117713) 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 13 ways as a sum of consecutive naturals, for example, 48735 + ... + 50192.

Almost surely, 2^72117783 is an apocalyptic number.

72117783 is a deficient number, since it is larger than the sum of its proper divisors (36010521).

72117783 is an frugal number, since it uses more digits than its factorization.

72117783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98945 (or 98930 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 72117783 is about 8492.2189679730. The cubic root of 72117783 is about 416.2434914979.

It can be divided in two parts, 72117 and 783, that added together give a square (72900 = 270²).

The spelling of 72117783 in words is "seventy-two million, one hundred seventeen thousand, seven hundred eighty-three".