72350001 has 24 divisors (see below), whose sum is σ = 108476160. Its totient is φ = 46418400.

The previous prime is 72349993. The next prime is 72350009. The reversal of 72350001 is 10005327.

It is an interprime number because it is at equal distance from previous prime (72349993) and next prime (72350009).

It is not a de Polignac number, because 72350001 - 2³ = 72349993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72350009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58255 + ... + 59483.

It is an arithmetic number, because the mean of its divisors is an integer number (4519840).

Almost surely, 2^72350001 is an apocalyptic number.

It is an amenable number.

72350001 is a deficient number, since it is larger than the sum of its proper divisors (36126159).

72350001 is a wasteful number, since it uses less digits than its factorization.

72350001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 72350001 is about 8505.8803777152. The cubic root of 72350001 is about 416.6897784158.

Adding to 72350001 its reverse (10005327), we get a palindrome (82355328).

The spelling of 72350001 in words is "seventy-two million, three hundred fifty thousand, one".