73728071261 has 8 divisors (see below), whose sum is σ = 79472120280. Its totient is φ = 67994402112.

The previous prime is 73728071243. The next prime is 73728071279. The reversal of 73728071261 is 16217082737.

It is an interprime number because it is at equal distance from previous prime (73728071243) and next prime (73728071279).

It can be written as a sum of positive squares in 4 ways, for example, as 3181524025 + 70546547236 = 56405^2 + 265606^2 .

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

It is not a de Polignac number, because 73728071261 - 2¹⁸ = 73727809117 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 (73728071231) 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, 2580206 + ... + 2608623.

It is an arithmetic number, because the mean of its divisors is an integer number (9934015035).

Almost surely, 2^73728071261 is an apocalyptic number.

It is an amenable number.

73728071261 is a deficient number, since it is larger than the sum of its proper divisors (5744049019).

73728071261 is a wasteful number, since it uses less digits than its factorization.

73728071261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189935.

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 73728071261 in words is "seventy-three billion, seven hundred twenty-eight million, seventy-one thousand, two hundred sixty-one".