72290856960 has 624 divisors, whose sum is σ = 293259293184. Its totient is φ = 16126967808.

The previous prime is 72290856941. The next prime is 72290856973. The reversal of 72290856960 is 6965809227.

72290856960 is a `hidden beast` number, since 72 + 2 + 9 + 0 + 8 + 569 + 6 + 0 = 666.

It is a super-3 number, since 3×72290856960³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 72290856897 and 72290856906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55479669 + ... + 55480971.

It is an arithmetic number, because the mean of its divisors is an integer number (469966816).

Almost surely, 2^72290856960 is an apocalyptic number.

72290856960 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 72290856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146629646592).

72290856960 is an abundant number, since it is smaller than the sum of its proper divisors (220968436224).

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

72290856960 is a wasteful number, since it uses less digits than its factorization.

72290856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 72290856960 in words is "seventy-two billion, two hundred ninety million, eight hundred fifty-six thousand, nine hundred sixty".