72411737671033 has 16 divisors (see below), whose sum is σ = 79523085807504. Its totient is φ = 65653734297600.

The previous prime is 72411737670949. The next prime is 72411737671057. The reversal of 72411737671033 is 33017673711427.

It can be written as a sum of positive squares in 8 ways, for example, as 53158141467369 + 19253596203664 = 7290963^2 + 4387892^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72411737671033 is a prime.

It is a super-3 number, since 3×72411737671033³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72411737671333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569847360 + ... + 569974417.

It is an arithmetic number, because the mean of its divisors is an integer number (4970192862969).

Almost surely, 2^{72411737671033} is an apocalyptic number.

It is an amenable number.

72411737671033 is a deficient number, since it is larger than the sum of its proper divisors (7111348136471).

72411737671033 is a wasteful number, since it uses less digits than its factorization.

72411737671033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139821932.

The product of its (nonzero) digits is 3111696, while the sum is 52.

The spelling of 72411737671033 in words is "seventy-two trillion, four hundred eleven billion, seven hundred thirty-seven million, six hundred seventy-one thousand, thirty-three".