72029971456 has 33 divisors (see below), whose sum is σ = 144006771379. Its totient is φ = 36010691584.

The previous prime is 72029971399. The next prime is 72029971459. The reversal of 72029971456 is 65417992027.

The square root of 72029971456 is 268384.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

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

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8584095 + ... + 8592481.

Almost surely, 2^72029971456 is an apocalyptic number.

72029971456 is the 268384-th square number.

It is an amenable number.

72029971456 is a deficient number, since it is larger than the sum of its proper divisors (71976799923).

72029971456 is an frugal number, since it uses more digits than its factorization.

72029971456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16794 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 72029971456 in words is "seventy-two billion, twenty-nine million, nine hundred seventy-one thousand, four hundred fifty-six".