72405631801 has 8 divisors (see below), whose sum is σ = 73617168384. Its totient is φ = 71199421440.

The previous prime is 72405631769. The next prime is 72405631811. The reversal of 72405631801 is 10813650427.

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 72405631801 - 2⁵ = 72405631769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72405631811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304136 + ... + 1358521.

It is an arithmetic number, because the mean of its divisors is an integer number (9202146048).

Almost surely, 2^72405631801 is an apocalyptic number.

72405631801 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72405631801 is a deficient number, since it is larger than the sum of its proper divisors (1211536583).

72405631801 is a wasteful number, since it uses less digits than its factorization.

72405631801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663111.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 72405631801 in words is "seventy-two billion, four hundred five million, six hundred thirty-one thousand, eight hundred one".