72077026652761 has 27 divisors (see below), whose sum is σ = 78324109210557. Its totient is φ = 66298015349280.

The previous prime is 72077026652759. The next prime is 72077026652779. The reversal of 72077026652761 is 16725662077027.

The square root of 72077026652761 is 8489819.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29471120270361 + 42605906382400 = 5428731^2 + 6527320^2 .

It is not a de Polignac number, because 72077026652761 - 2¹ = 72077026652759 is a prime.

It is a super-2 number, since 2×72077026652761² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72077026652696 and 72077026652705.

It is not an unprimeable number, because it can be changed into a prime (72077026652161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36531690171 + ... + 36531692143.

Almost surely, 2^{72077026652761} is an apocalyptic number.

72077026652761 is the 8489819-th square number.

72077026652761 is the 4244910-th centered octagonal number.

It is an amenable number.

72077026652761 is a deficient number, since it is larger than the sum of its proper divisors (6247082557796).

72077026652761 is an frugal number, since it uses more digits than its factorization.

72077026652761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 58.

The spelling of 72077026652761 in words is "seventy-two trillion, seventy-seven billion, twenty-six million, six hundred fifty-two thousand, seven hundred sixty-one".