72650000 has 60 divisors (see below), whose sum is σ = 176059044. Its totient is φ = 29040000.

The previous prime is 72649999. The next prime is 72650003. The reversal of 72650000 is 5627.

It can be written as a sum of positive squares in 6 ways, for example, as 39287824 + 33362176 = 6268^2 + 5776^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (72650003) 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, 49274 + ... + 50726.

Almost surely, 2^72650000 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 72650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88029522).

72650000 is an abundant number, since it is smaller than the sum of its proper divisors (103409044).

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

72650000 is an equidigital number, since it uses as much as digits as its factorization.

72650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 72650000 is about 8523.4969349440. The cubic root of 72650000 is about 417.2649183944.

Adding to 72650000 its reverse (5627), we get a palindrome (72655627).

The spelling of 72650000 in words is "seventy-two million, six hundred fifty thousand".