72105952017456 has 240 divisors, whose sum is σ = 238256676057088. Its totient is φ = 19921001587200.

The previous prime is 72105952017433. The next prime is 72105952017497. The reversal of 72105952017456 is 65471025950127.

72105952017456 is a `hidden beast` number, since 7 + 2 + 1 + 0 + 59 + 520 + 17 + 4 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37721061 + ... + 39586491.

Almost surely, 2^{72105952017456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72105952017456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119128338028544).

72105952017456 is an abundant number, since it is smaller than the sum of its proper divisors (166150724039632).

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

72105952017456 is a wasteful number, since it uses less digits than its factorization.

72105952017456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866720 (or 1866711 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 72105952017456 in words is "seventy-two trillion, one hundred five billion, nine hundred fifty-two million, seventeen thousand, four hundred fifty-six".