72818741 has 8 divisors (see below), whose sum is σ = 73964184. Its totient is φ = 71677440.

The previous prime is 72818731. The next prime is 72818761. The reversal of 72818741 is 14781827.

It can be written as a sum of positive squares in 4 ways, for example, as 32547025 + 40271716 = 5705^2 + 6346^2 .

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 72818741 - 2¹⁸ = 72556597 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72818695 and 72818704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72818731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70811 + ... + 71831.

It is an arithmetic number, because the mean of its divisors is an integer number (9245523).

Almost surely, 2^72818741 is an apocalyptic number.

It is an amenable number.

72818741 is a deficient number, since it is larger than the sum of its proper divisors (1145443).

72818741 is a wasteful number, since it uses less digits than its factorization.

72818741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071.

The product of its digits is 25088, while the sum is 38.

The square root of 72818741 is about 8533.3897719488. The cubic root of 72818741 is about 417.5877229702.

The spelling of 72818741 in words is "seventy-two million, eight hundred eighteen thousand, seven hundred forty-one".