72093824 has 32 divisors (see below), whose sum is σ = 156684240. Its totient is φ = 32769280.

The previous prime is 72093793. The next prime is 72093829. The reversal of 72093824 is 42839027.

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

It is not an unprimeable number, because it can be changed into a prime (72093829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24194 + ... + 27009.

Almost surely, 2^72093824 is an apocalyptic number.

It is an amenable number.

72093824 is an abundant number, since it is smaller than the sum of its proper divisors (84590416).

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

72093824 is a wasteful number, since it uses less digits than its factorization.

72093824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51228 (or 51216 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 72093824 is about 8490.8082065255. The cubic root of 72093824 is about 416.1973915302.

The spelling of 72093824 in words is "seventy-two million, ninety-three thousand, eight hundred twenty-four".