72417053313135 has 96 divisors (see below), whose sum is σ = 126957559652352. Its totient is φ = 38184078274560.

The previous prime is 72417053313091. The next prime is 72417053313149. The reversal of 72417053313135 is 53131335071427.

72417053313135 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 70 + 533 + 13 + 1 + 35 = 666.

It is not a de Polignac number, because 72417053313135 - 2¹⁷ = 72417053182063 is a prime.

It is a super-2 number, since 2×72417053313135² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1125732342 + ... + 1125796668.

It is an arithmetic number, because the mean of its divisors is an integer number (1322474579712).

Almost surely, 2^{72417053313135} is an apocalyptic number.

72417053313135 is a deficient number, since it is larger than the sum of its proper divisors (54540506339217).

72417053313135 is a wasteful number, since it uses less digits than its factorization.

72417053313135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65333 (or 65330 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 72417053313135 in words is "seventy-two trillion, four hundred seventeen billion, fifty-three million, three hundred thirteen thousand, one hundred thirty-five".