72011800 has 48 divisors (see below), whose sum is σ = 191349360. Its totient is φ = 24689280.

The previous prime is 72011783. The next prime is 72011809. The reversal of 72011800 is 811027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72011809) 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, 24319 + ... + 27118.

It is an arithmetic number, because the mean of its divisors is an integer number (3986445).

Almost surely, 2^72011800 is an apocalyptic number.

72011800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72011800 is an abundant number, since it is smaller than the sum of its proper divisors (119337560).

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

72011800 is a wasteful number, since it uses less digits than its factorization.

72011800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51460 (or 51451 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 72011800 is about 8485.9766674202. The cubic root of 72011800 is about 416.0394902107.

Adding to 72011800 its reverse (811027), we get a palindrome (72822827).

The spelling of 72011800 in words is "seventy-two million, eleven thousand, eight hundred".