72019407461 has 8 divisors (see below), whose sum is σ = 76270028184. Its totient is φ = 67770362880.

The previous prime is 72019407431. The next prime is 72019407491. The reversal of 72019407461 is 16470491027.

It is an interprime number because it is at equal distance from previous prime (72019407431) and next prime (72019407491).

It can be written as a sum of positive squares in 4 ways, for example, as 27757559236 + 44261848225 = 166606^2 + 210385^2 .

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 72019407461 - 2¹⁴ = 72019391077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72019407431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299300 + ... + 483341.

It is an arithmetic number, because the mean of its divisors is an integer number (9533753523).

Almost surely, 2^72019407461 is an apocalyptic number.

It is an amenable number.

72019407461 is a deficient number, since it is larger than the sum of its proper divisors (4250620723).

72019407461 is a wasteful number, since it uses less digits than its factorization.

72019407461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788071.

The product of its (nonzero) digits is 84672, while the sum is 41.

Adding to 72019407461 its reverse (16470491027), we get a palindrome (88489898488).

The spelling of 72019407461 in words is "seventy-two billion, nineteen million, four hundred seven thousand, four hundred sixty-one".