72436056 has 128 divisors (see below), whose sum is σ = 237772800. Its totient is φ = 17815680.

The previous prime is 72435991. The next prime is 72436061. The reversal of 72436056 is 65063427.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34081 + ... + 36143.

It is an arithmetic number, because the mean of its divisors is an integer number (1857600).

Almost surely, 2^72436056 is an apocalyptic number.

72436056 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72436056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118886400).

72436056 is an abundant number, since it is smaller than the sum of its proper divisors (165336744).

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

72436056 is a wasteful number, since it uses less digits than its factorization.

72436056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 72436056 is about 8510.9374336791. The cubic root of 72436056 is about 416.8549202304.

The spelling of 72436056 in words is "seventy-two million, four hundred thirty-six thousand, fifty-six".