72062963280 has 1440 divisors, whose sum is σ = 337062176640. Its totient is φ = 14050713600.

The previous prime is 72062963267. The next prime is 72062963321. The reversal of 72062963280 is 8236926027.

72062963280 is a `hidden beast` number, since 7 + 2 + 0 + 6 + 2 + 9 + 632 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 217712715 + ... + 217713045.

It is an arithmetic number, because the mean of its divisors is an integer number (234070956).

Almost surely, 2^72062963280 is an apocalyptic number.

72062963280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72062963280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168531088320).

72062963280 is an abundant number, since it is smaller than the sum of its proper divisors (264999213360).

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

72062963280 is a wasteful number, since it uses less digits than its factorization.

72062963280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 72062963280 in words is "seventy-two billion, sixty-two million, nine hundred sixty-three thousand, two hundred eighty".