72045024 has 48 divisors (see below), whose sum is σ = 189641088. Its totient is φ = 23948672.

The previous prime is 72045013. The next prime is 72045037. The reversal of 72045024 is 42054027.

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

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 = 72044985 and 72045003.

It is a congruent number.

It is an unprimeable number.

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, 44029 + ... + 45635.

It is an arithmetic number, because the mean of its divisors is an integer number (3950856).

Almost surely, 2^72045024 is an apocalyptic number.

It is an amenable number.

72045024 is an abundant number, since it is smaller than the sum of its proper divisors (117596064).

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

72045024 is a wasteful number, since it uses less digits than its factorization.

72045024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 72045024 is about 8487.9340242488. The cubic root of 72045024 is about 416.1034629245.

The spelling of 72045024 in words is "seventy-two million, forty-five thousand, twenty-four".