72136032 has 48 divisors (see below), whose sum is σ = 200500272. Its totient is φ = 22630400.

The previous prime is 72135997. The next prime is 72136033. The reversal of 72136032 is 23063127.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×72136032² = 10407214225410048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 72135993 and 72136011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72136033) 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 7 ways as a sum of consecutive naturals, for example, 20469 + ... + 23732.

It is an arithmetic number, because the mean of its divisors is an integer number (4177089).

Almost surely, 2^72136032 is an apocalyptic number.

It is an amenable number.

72136032 is an abundant number, since it is smaller than the sum of its proper divisors (128364240).

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

72136032 is a wasteful number, since it uses less digits than its factorization.

72136032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44231 (or 44223 counting only the distinct ones).

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

The square root of 72136032 is about 8493.2933541707. The cubic root of 72136032 is about 416.2785978963.

Adding to 72136032 its reverse (23063127), we get a palindrome (95199159).

The spelling of 72136032 in words is "seventy-two million, one hundred thirty-six thousand, thirty-two".