72080600 has 48 divisors (see below), whose sum is σ = 168203520. Its totient is φ = 28726400.

The previous prime is 72080587. The next prime is 72080609. The reversal of 72080600 is 608027.

It is a super-2 number, since 2×72080600² = 10391225792720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72080609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76130 + ... + 77070.

It is an arithmetic number, because the mean of its divisors is an integer number (3504240).

Almost surely, 2^72080600 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 72080600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84101760).

72080600 is an abundant number, since it is smaller than the sum of its proper divisors (96122920).

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

72080600 is a wasteful number, since it uses less digits than its factorization.

72080600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 72080600 is about 8490.0294463565. The cubic root of 72080600 is about 416.1719426057.

Adding to 72080600 its reverse (608027), we get a palindrome (72688627).

The spelling of 72080600 in words is "seventy-two million, eighty thousand, six hundred".