72064021 has 2 divisors, whose sum is σ = 72064022. Its totient is φ = 72064020.

The previous prime is 72064009. The next prime is 72064039. The reversal of 72064021 is 12046027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72063121 + 900 = 8489^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 72064021 - 2⁵ = 72063989 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72063983 and 72064001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72064081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36032010 + 36032011.

It is an arithmetic number, because the mean of its divisors is an integer number (36032011).

Almost surely, 2^72064021 is an apocalyptic number.

It is an amenable number.

72064021 is a deficient number, since it is larger than the sum of its proper divisors (1).

72064021 is an equidigital number, since it uses as much as digits as its factorization.

72064021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 72064021 is about 8489.0530096118. The cubic root of 72064021 is about 416.1400327543.

The spelling of 72064021 in words is "seventy-two million, sixty-four thousand, twenty-one".