72550080 has 196 divisors, whose sum is σ = 259854192. Its totient is φ = 19284480.

The previous prime is 72550043. The next prime is 72550087. The reversal of 72550080 is 8005527.

It is a happy number.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (72550087) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233125 + ... + 233435.

Almost surely, 2^72550080 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 72550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129927096).

72550080 is an abundant number, since it is smaller than the sum of its proper divisors (187304112).

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

72550080 is an equidigital number, since it uses as much as digits as its factorization.

72550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 72550080 is about 8517.6334741523. The cubic root of 72550080 is about 417.0735339501.

It can be divided in two parts, 725 and 50080, that added together give a palindrome (50805).

The spelling of 72550080 in words is "seventy-two million, five hundred fifty thousand, eighty".