72102077 has 2 divisors, whose sum is σ = 72102078. Its totient is φ = 72102076.

The previous prime is 72102059. The next prime is 72102113. The reversal of 72102077 is 77020127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70997476 + 1104601 = 8426^2 + 1051^2 .

It is a cyclic number.

It is not a de Polignac number, because 72102077 - 2¹⁶ = 72036541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72102577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36051038 + 36051039.

It is an arithmetic number, because the mean of its divisors is an integer number (36051039).

Almost surely, 2^72102077 is an apocalyptic number.

It is an amenable number.

72102077 is a deficient number, since it is larger than the sum of its proper divisors (1).

72102077 is an equidigital number, since it uses as much as digits as its factorization.

72102077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 72102077 is about 8491.2941887559. The cubic root of 72102077 is about 416.2132724375.

The spelling of 72102077 in words is "seventy-two million, one hundred two thousand, seventy-seven".