72921847646041 has 3 divisors (see below), whose sum is σ = 72921856185471. Its totient is φ = 72921839106612.

The previous prime is 72921847645963. The next prime is 72921847646143. The reversal of 72921847646041 is 14064674812927.

The square root of 72921847646041 is 8539429.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 67611496109641 + 5310351536400 = 8222621^2 + 2304420^2 .

It is not a de Polignac number, because 72921847646041 - 2³⁵ = 72887487907673 is a prime.

It is a super-2 number, since 2×72921847646041² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72921847646941) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4269715 + ... + 12809143.

It is an arithmetic number, because the mean of its divisors is an integer number (24307285395157).

Almost surely, 2^{72921847646041} is an apocalyptic number.

72921847646041 is the 8539429-th square number.

72921847646041 is the 4269715-th centered octagonal number.

It is an amenable number.

72921847646041 is a deficient number, since it is larger than the sum of its proper divisors (8539430).

72921847646041 is an frugal number, since it uses more digits than its factorization.

72921847646041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17078858 (or 8539429 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 61.

It can be divided in two parts, 7292184 and 7646041, that added together give a square (14938225 = 3865²).

The spelling of 72921847646041 in words is "seventy-two trillion, nine hundred twenty-one billion, eight hundred forty-seven million, six hundred forty-six thousand, forty-one".