72029971457 has 4 divisors (see below), whose sum is σ = 72061332036. Its totient is φ = 71998610880.

The previous prime is 72029971399. The next prime is 72029971459. The reversal of 72029971457 is 75417992027.

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

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 33864832576 + 38165138881 = 184024^2 + 195359^2 .

It is a cyclic number.

It is not a de Polignac number, because 72029971457 - 2¹⁶ = 72029905921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72029971399 and 72029971408.

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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15676844 + ... + 15681437.

It is an arithmetic number, because the mean of its divisors is an integer number (18015333009).

Almost surely, 2^72029971457 is an apocalyptic number.

It is an amenable number.

72029971457 is a deficient number, since it is larger than the sum of its proper divisors (31360579).

72029971457 is a wasteful number, since it uses less digits than its factorization.

72029971457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31360578.

The product of its (nonzero) digits is 2222640, while the sum is 53.

The spelling of 72029971457 in words is "seventy-two billion, twenty-nine million, nine hundred seventy-one thousand, four hundred fifty-seven".