72050436 has 72 divisors (see below), whose sum is σ = 188348160. Its totient is φ = 23210496.

The previous prime is 72050431. The next prime is 72050441. The reversal of 72050436 is 63405027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72050431) and next prime (72050441).

It is not an unprimeable number, because it can be changed into a prime (72050431) 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 23 ways as a sum of consecutive naturals, for example, 163905 + ... + 164343.

Almost surely, 2^72050436 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 72050436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94174080).

72050436 is an abundant number, since it is smaller than the sum of its proper divisors (116297724).

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

72050436 is a wasteful number, since it uses less digits than its factorization.

72050436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72050436 is about 8488.2528237559. The cubic root of 72050436 is about 416.1138818516.

The spelling of 72050436 in words is "seventy-two million, fifty thousand, four hundred thirty-six".