72461206001 has 8 divisors (see below), whose sum is σ = 74477670144. Its totient is φ = 70447797360.

The previous prime is 72461205953. The next prime is 72461206007. The reversal of 72461206001 is 10060216427.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72461206001 - 2¹⁸ = 72460943857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72461206007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715745 + ... + 810686.

It is an arithmetic number, because the mean of its divisors is an integer number (9309708768).

Almost surely, 2^72461206001 is an apocalyptic number.

It is an amenable number.

72461206001 is a deficient number, since it is larger than the sum of its proper divisors (2016464143).

72461206001 is a wasteful number, since it uses less digits than its factorization.

72461206001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527751.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 72461206001 in words is "seventy-two billion, four hundred sixty-one million, two hundred six thousand, one".