72164401 has 2 divisors, whose sum is σ = 72164402. Its totient is φ = 72164400.

The previous prime is 72164381. The next prime is 72164423. The reversal of 72164401 is 10446127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70576801 + 1587600 = 8401^2 + 1260^2 .

It is a cyclic number.

It is not a de Polignac number, because 72164401 - 2¹³ = 72156209 is a prime.

It is not a weakly prime, because it can be changed into another prime (72164461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082200 + 36082201.

It is an arithmetic number, because the mean of its divisors is an integer number (36082201).

Almost surely, 2^72164401 is an apocalyptic number.

It is an amenable number.

72164401 is a deficient number, since it is larger than the sum of its proper divisors (1).

72164401 is an equidigital number, since it uses as much as digits as its factorization.

72164401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 72164401 is about 8494.9632724338. The cubic root of 72164401 is about 416.3331608262. Note that the first 3 decimals are identical.

The spelling of 72164401 in words is "seventy-two million, one hundred sixty-four thousand, four hundred one".