72836736 has 160 divisors (see below), whose sum is σ = 228561600. Its totient is φ = 20547072.

The previous prime is 72836723. The next prime is 72836737. The reversal of 72836736 is 63763827.

It is a super-2 number, since 2×72836736² = 10610380222267392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (72836737) 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 19 ways as a sum of consecutive naturals, for example, 921945 + ... + 922023.

It is an arithmetic number, because the mean of its divisors is an integer number (1428510).

Almost surely, 2^72836736 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 72836736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114280800).

72836736 is an abundant number, since it is smaller than the sum of its proper divisors (155724864).

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

72836736 is an frugal number, since it uses more digits than its factorization.

72836736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 72836736 is about 8534.4440943743. Note that the first 3 decimals coincide. The cubic root of 72836736 is about 417.6221182924.

The spelling of 72836736 in words is "seventy-two million, eight hundred thirty-six thousand, seven hundred thirty-six".