72727200000031 has 2 divisors, whose sum is σ = 72727200000032. Its totient is φ = 72727200000030.

The previous prime is 72727199999969. The next prime is 72727200000101. The reversal of 72727200000031 is 13000000272727.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72727200000031 - 2¹³ = 72727199991839 is a prime.

It is a super-2 number, since 2×72727200000031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72727199999939 and 72727200000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72727200000431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36363600000015 + 36363600000016.

It is an arithmetic number, because the mean of its divisors is an integer number (36363600000016).

Almost surely, 2^{72727200000031} is an apocalyptic number.

72727200000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

72727200000031 is an equidigital number, since it uses as much as digits as its factorization.

72727200000031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8232, while the sum is 31.

Adding to 72727200000031 its reverse (13000000272727), we get a palindrome (85727200272758).

The spelling of 72727200000031 in words is "seventy-two trillion, seven hundred twenty-seven billion, two hundred million, thirty-one", and thus it is an aban number.