72877744317541 has 8 divisors (see below), whose sum is σ = 73297426141784. Its totient is φ = 72458496276480.

The previous prime is 72877744317461. The next prime is 72877744317589. The reversal of 72877744317541 is 14571344777827.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 161978076225 + 72715766241316 = 402465^2 + 8527354^2 .

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 72877744317541 - 2⁹ = 72877744317029 is a prime.

It is a super-2 number, since 2×72877744317541² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72877744317841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108108816 + ... + 108780841.

It is an arithmetic number, because the mean of its divisors is an integer number (9162178267723).

Almost surely, 2^{72877744317541} is an apocalyptic number.

It is an amenable number.

72877744317541 is a deficient number, since it is larger than the sum of its proper divisors (419681824243).

72877744317541 is a wasteful number, since it uses less digits than its factorization.

72877744317541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216891591.

The product of its digits is 258155520, while the sum is 67.

The spelling of 72877744317541 in words is "seventy-two trillion, eight hundred seventy-seven billion, seven hundred forty-four million, three hundred seventeen thousand, five hundred forty-one".