72033520 has 40 divisors (see below), whose sum is σ = 180363456. Its totient is φ = 26596608.

The previous prime is 72033517. The next prime is 72033523. The reversal of 72033520 is 2533027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72033517) and next prime (72033523).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 72033491 and 72033500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72033523) 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, 33592 + ... + 35671.

Almost surely, 2^72033520 is an apocalyptic number.

It is an amenable number.

72033520 is an abundant number, since it is smaller than the sum of its proper divisors (108329936).

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

72033520 is a wasteful number, since it uses less digits than its factorization.

72033520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69289 (or 69283 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 72033520 is about 8487.2563293446. The cubic root of 72033520 is about 416.0813142329.

Adding to 72033520 its reverse (2533027), we get a palindrome (74566547).

The spelling of 72033520 in words is "seventy-two million, thirty-three thousand, five hundred twenty".