72945024 has 32 divisors (see below), whose sum is σ = 193761240. Its totient is φ = 24314880.

The previous prime is 72945007. The next prime is 72945043. The reversal of 72945024 is 42054927.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94597 + ... + 95364.

Almost surely, 2^72945024 is an apocalyptic number.

It is an amenable number.

72945024 is an abundant number, since it is smaller than the sum of its proper divisors (120816216).

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

72945024 is a wasteful number, since it uses less digits than its factorization.

72945024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189978 (or 189966 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72945024 is about 8540.7859123151. The cubic root of 72945024 is about 417.8289785177.

It can be divided in two parts, 729 and 45024, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 72945024 in words is "seventy-two million, nine hundred forty-five thousand, twenty-four".