72685800 has 144 divisors (see below), whose sum is σ = 266366880. Its totient is φ = 17616000.

The previous prime is 72685771. The next prime is 72685801. The reversal of 72685800 is 858627.

72685800 is a `hidden beast` number, since 72 + 6 + 8 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72685801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 17965 + ... + 21635.

It is an arithmetic number, because the mean of its divisors is an integer number (1849770).

Almost surely, 2^72685800 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 72685800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

72685800 is an abundant number, since it is smaller than the sum of its proper divisors (193681080).

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

72685800 is a wasteful number, since it uses less digits than its factorization.

72685800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 72685800 is about 8525.5967533071. The cubic root of 72685800 is about 417.3334461808. Note that the first 3 decimals are identical.

The spelling of 72685800 in words is "seventy-two million, six hundred eighty-five thousand, eight hundred".