72680000 has 140 divisors (see below), whose sum is σ = 190439040. Its totient is φ = 27456000.

The previous prime is 72679991. The next prime is 72680009. The reversal of 72680000 is 8627.

It is an interprime number because it is at equal distance from previous prime (72679991) and next prime (72680009).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (72680009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919961 + ... + 920039.

Almost surely, 2^72680000 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 72680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95219520).

72680000 is an abundant number, since it is smaller than the sum of its proper divisors (117759040).

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

72680000 is an equidigital number, since it uses as much as digits as its factorization.

72680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

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

The square root of 72680000 is about 8525.2565943788. The cubic root of 72680000 is about 417.3223454414.

Adding to 72680000 its reverse (8627), we get a palindrome (72688627).

The spelling of 72680000 in words is "seventy-two million, six hundred eighty thousand".