72124951154881 has 9 divisors (see below), whose sum is σ = 72877005256041. Its totient is φ = 71380579663872.

The previous prime is 72124951154863. The next prime is 72124951154899. The reversal of 72124951154881 is 18845115942127.

The square root of 72124951154881 is 8492641.

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

It is an interprime number because it is at equal distance from previous prime (72124951154863) and next prime (72124951154899).

It can be written as a sum of positive squares in 4 ways, for example, as 4167350705281 + 67957600449600 = 2041409^2 + 8243640^2 .

It is not a de Polignac number, because 72124951154881 - 2¹⁷ = 72124951023809 is a prime.

It is a super-2 number, since 2×72124951154881² (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 (72124951854881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 823742401 + ... + 823829953.

It is an arithmetic number, because the mean of its divisors is an integer number (8097445028449).

Almost surely, 2^{72124951154881} is an apocalyptic number.

72124951154881 is the 8492641-st square number.

72124951154881 is the 4246321-st centered octagonal number.

It is an amenable number.

72124951154881 is a deficient number, since it is larger than the sum of its proper divisors (752054101160).

72124951154881 is an frugal number, since it uses more digits than its factorization.

72124951154881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175300 (or 87650 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 58.

The spelling of 72124951154881 in words is "seventy-two trillion, one hundred twenty-four billion, nine hundred fifty-one million, one hundred fifty-four thousand, eight hundred eighty-one".