72076117 has 2 divisors, whose sum is σ = 72076118. Its totient is φ = 72076116.

The previous prime is 72076099. The next prime is 72076133. The reversal of 72076117 is 71167027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72063121 + 12996 = 8489^2 + 114^2 .

It is a cyclic number.

It is not a de Polignac number, because 72076117 - 2¹⁹ = 71551829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72076157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36038058 + 36038059.

It is an arithmetic number, because the mean of its divisors is an integer number (36038059).

Almost surely, 2^72076117 is an apocalyptic number.

It is an amenable number.

72076117 is a deficient number, since it is larger than the sum of its proper divisors (1).

72076117 is an equidigital number, since it uses as much as digits as its factorization.

72076117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4116, while the sum is 31.

The square root of 72076117 is about 8489.7654266770. The cubic root of 72076117 is about 416.1633145907.

The spelling of 72076117 in words is "seventy-two million, seventy-six thousand, one hundred seventeen".