72033724 has 18 divisors (see below), whose sum is σ = 146640480. Its totient is φ = 30871512.

The previous prime is 72033721. The next prime is 72033733. The reversal of 72033724 is 42733027.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 72033692 and 72033701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72033721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183564 + ... + 183955.

Almost surely, 2^72033724 is an apocalyptic number.

It is an amenable number.

72033724 is an abundant number, since it is smaller than the sum of its proper divisors (74606756).

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

72033724 is a wasteful number, since it uses less digits than its factorization.

72033724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367537 (or 367528 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 72033724 is about 8487.2683473542. The cubic root of 72033724 is about 416.0817070154.

The spelling of 72033724 in words is "seventy-two million, thirty-three thousand, seven hundred twenty-four".