72117449 has 8 divisors (see below), whose sum is σ = 72828672. Its totient is φ = 71409600.

The previous prime is 72117431. The next prime is 72117467. The reversal of 72117449 is 94471127.

It is an interprime number because it is at equal distance from previous prime (72117431) and next prime (72117467).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72117449 - 2⁸ = 72117193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72117049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64832 + ... + 65934.

It is an arithmetic number, because the mean of its divisors is an integer number (9103584).

Almost surely, 2^72117449 is an apocalyptic number.

It is an amenable number.

72117449 is a deficient number, since it is larger than the sum of its proper divisors (711223).

72117449 is a wasteful number, since it uses less digits than its factorization.

72117449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687.

The product of its digits is 14112, while the sum is 35.

The square root of 72117449 is about 8492.1993028897. The cubic root of 72117449 is about 416.2428489124.

It can be divided in two parts, 72 and 117449, that multiplied together give a triangular number (8456328 = T₄₁₁₂).

The spelling of 72117449 in words is "seventy-two million, one hundred seventeen thousand, four hundred forty-nine".