72430444117953 has 48 divisors (see below), whose sum is σ = 112188846993600. Its totient is φ = 44892253900800.

The previous prime is 72430444117921. The next prime is 72430444117981. The reversal of 72430444117953 is 35971144403427.

72430444117953 is a `hidden beast` number, since 7 + 2 + 4 + 30 + 444 + 117 + 9 + 53 = 666.

It is not a de Polignac number, because 72430444117953 - 2⁵ = 72430444117921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72430444117953.

It is not an unprimeable number, because it can be changed into a prime (72430444119953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399748 + ... + 12042453.

It is an arithmetic number, because the mean of its divisors is an integer number (2337267645700).

Almost surely, 2^{72430444117953} is an apocalyptic number.

It is an amenable number.

72430444117953 is a deficient number, since it is larger than the sum of its proper divisors (39758402875647).

72430444117953 is a wasteful number, since it uses less digits than its factorization.

72430444117953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442862 (or 12442859 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 72430444117953 in words is "seventy-two trillion, four hundred thirty billion, four hundred forty-four million, one hundred seventeen thousand, nine hundred fifty-three".