72136236 has 96 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 20818944.

The previous prime is 72136231. The next prime is 72136237. The reversal of 72136236 is 63263127.

72136236 = T₂₆₄ + T₂₆₅ + ... + T₇₆₆.

It is a super-3 number, since 3×72136236³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72136231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143161 + ... + 143663.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^72136236 is an apocalyptic number.

72136236 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 72136236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

72136236 is an abundant number, since it is smaller than the sum of its proper divisors (120915924).

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

72136236 is a wasteful number, since it uses less digits than its factorization.

72136236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 72136236 is about 8493.3053636379. The cubic root of 72136236 is about 416.2789903065.

The spelling of 72136236 in words is "seventy-two million, one hundred thirty-six thousand, two hundred thirty-six".