72029971455 has 64 divisors (see below), whose sum is σ = 125240895360. Its totient is φ = 35139649536.

The previous prime is 72029971399. The next prime is 72029971459. The reversal of 72029971455 is 55417992027.

It is a Cunningham number, because it is equal to 268384²-1.

It is not a de Polignac number, because 72029971455 - 2⁷ = 72029971327 is a prime.

It is a super-2 number, since 2×72029971455² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72029971398 and 72029971407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72029971459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17442831 + ... + 17446959.

It is an arithmetic number, because the mean of its divisors is an integer number (1956888990).

Almost surely, 2^72029971455 is an apocalyptic number.

72029971455 is a deficient number, since it is larger than the sum of its proper divisors (53210923905).

72029971455 is a wasteful number, since it uses less digits than its factorization.

72029971455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940.

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 72029971455 in words is "seventy-two billion, twenty-nine million, nine hundred seventy-one thousand, four hundred fifty-five".