72312001 has 2 divisors, whose sum is σ = 72312002. Its totient is φ = 72312000.

The previous prime is 72311989. The next prime is 72312013. The reversal of 72312001 is 10021327.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (72311989) and next prime (72312013).

It can be written as a sum of positive squares in only one way, i.e., 72250000 + 62001 = 8500^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 72312001 - 2⁷ = 72311873 is a prime.

It is not a weakly prime, because it can be changed into another prime (72312041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36156000 + 36156001.

It is an arithmetic number, because the mean of its divisors is an integer number (36156001).

Almost surely, 2^72312001 is an apocalyptic number.

It is an amenable number.

72312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72312001 is an equidigital number, since it uses as much as digits as its factorization.

72312001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72312001 is about 8503.6463355434. The cubic root of 72312001 is about 416.6168137333.

Adding to 72312001 its reverse (10021327), we get a palindrome (82333328).

The spelling of 72312001 in words is "seventy-two million, three hundred twelve thousand, one".