72880080 has 320 divisors, whose sum is σ = 287981568. Its totient is φ = 14837760.

The previous prime is 72880079. The next prime is 72880091. The reversal of 72880080 is 8008827.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1026445 + ... + 1026515.

Almost surely, 2^72880080 is an apocalyptic number.

72880080 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 72880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

72880080 is an abundant number, since it is smaller than the sum of its proper divisors (215101488).

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

72880080 is a wasteful number, since it uses less digits than its factorization.

72880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 72880080 is about 8536.9830736625. The cubic root of 72880080 is about 417.7049419912.

It can be divided in two parts, 728 and 80080, that added together give a palindrome (80808).

The spelling of 72880080 in words is "seventy-two million, eight hundred eighty thousand, eighty".