72417720146461 has 12 divisors (see below), whose sum is σ = 76487723519328. Its totient is φ = 68434555714184.

The previous prime is 72417720146449. The next prime is 72417720146467. The reversal of 72417720146461 is 16464102771427.

It is not a de Polignac number, because 72417720146461 - 2²¹ = 72417718049309 is a prime.

It is a super-3 number, since 3×72417720146461³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72417720146399 and 72417720146408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72417720146467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228365035 + ... + 228681928.

It is an arithmetic number, because the mean of its divisors is an integer number (6373976959944).

Almost surely, 2^{72417720146461} is an apocalyptic number.

It is an amenable number.

72417720146461 is a deficient number, since it is larger than the sum of its proper divisors (4070003372867).

72417720146461 is an equidigital number, since it uses as much as digits as its factorization.

72417720146461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457047152 (or 457047069 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 52.

The spelling of 72417720146461 in words is "seventy-two trillion, four hundred seventeen billion, seven hundred twenty million, one hundred forty-six thousand, four hundred sixty-one".