72093840 has 160 divisors (see below), whose sum is σ = 275149056. Its totient is φ = 15206400.

The previous prime is 72093829. The next prime is 72093841. The reversal of 72093840 is 4839027.

It is not an unprimeable number, because it can be changed into a prime (72093841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20190 + ... + 23490.

Almost surely, 2^72093840 is an apocalyptic number.

72093840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137574528).

72093840 is an abundant number, since it is smaller than the sum of its proper divisors (203055216).

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

72093840 is a wasteful number, since it uses less digits than its factorization.

72093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72093840 is about 8490.8091487208. The cubic root of 72093840 is about 416.1974223195.

The spelling of 72093840 in words is "seventy-two million, ninety-three thousand, eight hundred forty".