72129077 has 2 divisors, whose sum is σ = 72129078. Its totient is φ = 72129076.

The previous prime is 72129019. The next prime is 72129107. The reversal of 72129077 is 77092127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68541841 + 3587236 = 8279^2 + 1894^2 .

It is a cyclic number.

It is not a de Polignac number, because 72129077 - 2¹² = 72124981 is a prime.

It is equal to p_4235858 and since 72129077 and 4235858 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72129677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36064538 + 36064539.

It is an arithmetic number, because the mean of its divisors is an integer number (36064539).

Almost surely, 2^72129077 is an apocalyptic number.

It is an amenable number.

72129077 is a deficient number, since it is larger than the sum of its proper divisors (1).

72129077 is an equidigital number, since it uses as much as digits as its factorization.

72129077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12348, while the sum is 35.

The square root of 72129077 is about 8492.8839035984. The cubic root of 72129077 is about 416.2652189574.

The spelling of 72129077 in words is "seventy-two million, one hundred twenty-nine thousand, seventy-seven".