72849677 has 8 divisors (see below), whose sum is σ = 74187960. Its totient is φ = 71516160.

The previous prime is 72849593. The next prime is 72849683. The reversal of 72849677 is 77694827.

It can be written as a sum of positive squares in 4 ways, for example, as 2725801 + 70123876 = 1651^2 + 8374^2 .

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 72849677 - 2¹⁰ = 72848653 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 (72849277) 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 7 ways as a sum of consecutive naturals, for example, 46133 + ... + 47685.

It is an arithmetic number, because the mean of its divisors is an integer number (9273495).

Almost surely, 2^72849677 is an apocalyptic number.

It is an amenable number.

72849677 is a deficient number, since it is larger than the sum of its proper divisors (1338283).

72849677 is a wasteful number, since it uses less digits than its factorization.

72849677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383.

The product of its digits is 1185408, while the sum is 50.

The square root of 72849677 is about 8535.2022237320. The cubic root of 72849677 is about 417.6468499873.

It can be divided in two parts, 7284 and 9677, that added together give a palindrome (16961).

The spelling of 72849677 in words is "seventy-two million, eight hundred forty-nine thousand, six hundred seventy-seven".