72032136 has 64 divisors (see below), whose sum is σ = 205009920. Its totient is φ = 20877120.

The previous prime is 72032119. The next prime is 72032161. The reversal of 72032136 is 63123027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (3203280).

Almost surely, 2^72032136 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 72032136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102504960).

72032136 is an abundant number, since it is smaller than the sum of its proper divisors (132977784).

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

72032136 is a wasteful number, since it uses less digits than its factorization.

72032136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11906 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 72032136 is about 8487.1747949480. The cubic root of 72032136 is about 416.0786494540.

It can be divided in two parts, 7203 and 2136, that added together give a palindrome (9339).

The spelling of 72032136 in words is "seventy-two million, thirty-two thousand, one hundred thirty-six".