72466650 has 120 divisors (see below), whose sum is σ = 208630620. Its totient is φ = 18627840.

The previous prime is 72466649. The next prime is 72466651. The reversal of 72466650 is 5666427.

It is an interprime number because it is at equal distance from previous prime (72466649) and next prime (72466651).

It can be written as a sum of positive squares in 6 ways, for example, as 8450649 + 64016001 = 2907^2 + 8001^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72466651) 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 59 ways as a sum of consecutive naturals, for example, 117142 + ... + 117758.

Almost surely, 2^72466650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72466650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104315310).

72466650 is an abundant number, since it is smaller than the sum of its proper divisors (136163970).

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

72466650 is a wasteful number, since it uses less digits than its factorization.

72466650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 72466650 is about 8512.7345782657. The cubic root of 72466650 is about 416.9135994070.

The spelling of 72466650 in words is "seventy-two million, four hundred sixty-six thousand, six hundred fifty".