72470432280 has 384 divisors, whose sum is σ = 237824294400. Its totient is φ = 17630300160.

The previous prime is 72470432273. The next prime is 72470432297. The reversal of 72470432280 is 8223407427.

It is a super-3 number, since 3×72470432280³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236059887 + ... + 236060193.

It is an arithmetic number, because the mean of its divisors is an integer number (619334100).

Almost surely, 2^72470432280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72470432280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118912147200).

72470432280 is an abundant number, since it is smaller than the sum of its proper divisors (165353862120).

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

72470432280 is a wasteful number, since it uses less digits than its factorization.

72470432280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 72470432280 in words is "seventy-two billion, four hundred seventy million, four hundred thirty-two thousand, two hundred eighty".