72038064480 has 96 divisors (see below), whose sum is σ = 236786022144. Its totient is φ = 18374923776.

The previous prime is 72038064479. The next prime is 72038064487. The reversal of 72038064480 is 8446083027.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72038064487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3251554 + ... + 3273633.

It is an arithmetic number, because the mean of its divisors is an integer number (2466521064).

Almost surely, 2^72038064480 is an apocalyptic number.

It is an amenable number.

72038064480 is an abundant number, since it is smaller than the sum of its proper divisors (164747957664).

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

72038064480 is a wasteful number, since it uses less digits than its factorization.

72038064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525228 (or 6525220 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 72038064480 in words is "seventy-two billion, thirty-eight million, sixty-four thousand, four hundred eighty".