72145024 has 64 divisors (see below), whose sum is σ = 166659840. Its totient is φ = 30468096.

The previous prime is 72145019. The next prime is 72145057. The reversal of 72145024 is 42054127.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 72145024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64857 + ... + 65959.

It is an arithmetic number, because the mean of its divisors is an integer number (2604060).

Almost surely, 2^72145024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83329920).

72145024 is an abundant number, since it is smaller than the sum of its proper divisors (94514816).

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

72145024 is a wasteful number, since it uses less digits than its factorization.

72145024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 72145024 is about 8493.8226965248. The cubic root of 72145024 is about 416.2958940220.

The spelling of 72145024 in words is "seventy-two million, one hundred forty-five thousand, twenty-four".