72417720146436 has 72 divisors (see below), whose sum is σ = 209866705513920. Its totient is φ = 20625506571456.

The previous prime is 72417720146419. The next prime is 72417720146449. The reversal of 72417720146436 is 63464102771427.

72417720146436 is a `hidden beast` number, since 7 + 2 + 4 + 177 + 2 + 0 + 1 + 464 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453188106 + ... + 453347873.

It is an arithmetic number, because the mean of its divisors is an integer number (2914815354360).

Almost surely, 2^{72417720146436} is an apocalyptic number.

It is an amenable number.

72417720146436 is an abundant number, since it is smaller than the sum of its proper divisors (137448985367484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72417720146436 is a wasteful number, since it uses less digits than its factorization.

72417720146436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906536313 (or 906536308 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 72417720146436 in words is "seventy-two trillion, four hundred seventeen billion, seven hundred twenty million, one hundred forty-six thousand, four hundred thirty-six".