72220680 has 256 divisors, whose sum is σ = 283046400. Its totient is φ = 16035840.

The previous prime is 72220679. The next prime is 72220697. The reversal of 72220680 is 8602227.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309844 + ... + 310076.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^72220680 is an apocalyptic number.

72220680 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 72220680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

72220680 is an abundant number, since it is smaller than the sum of its proper divisors (210825720).

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

72220680 is a wasteful number, since it uses less digits than its factorization.

72220680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72220680 is about 8498.2751191051. The cubic root of 72220680 is about 416.4413615700.

It can be divided in two parts, 72220 and 680, that added together give a square (72900 = 270²).

The spelling of 72220680 in words is "seventy-two million, two hundred twenty thousand, six hundred eighty".