72065850 has 48 divisors (see below), whose sum is σ = 182896032. Its totient is φ = 18768960.

The previous prime is 72065843. The next prime is 72065857. The reversal of 72065850 is 5856027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72065843) and next prime (72065857).

It is not an unprimeable number, because it can be changed into a prime (72065857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 864 + ... + 12036.

It is an arithmetic number, because the mean of its divisors is an integer number (3810334).

Almost surely, 2^72065850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72065850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91448016).

72065850 is an abundant number, since it is smaller than the sum of its proper divisors (110830182).

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

72065850 is a wasteful number, since it uses less digits than its factorization.

72065850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11231 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 72065850 is about 8489.1607359032. The cubic root of 72065850 is about 416.1435532984.

The spelling of 72065850 in words is "seventy-two million, sixty-five thousand, eight hundred fifty".