72096090 has 64 divisors (see below), whose sum is σ = 189889920. Its totient is φ = 17373440.

The previous prime is 72096047. The next prime is 72096097. The reversal of 72096090 is 9069027.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72096097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64456 + ... + 65564.

It is an arithmetic number, because the mean of its divisors is an integer number (2967030).

Almost surely, 2^72096090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72096090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94944960).

72096090 is an abundant number, since it is smaller than the sum of its proper divisors (117793830).

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

72096090 is a wasteful number, since it uses less digits than its factorization.

72096090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 72096090 is about 8490.9416438932. The cubic root of 72096090 is about 416.2017520212.

The spelling of 72096090 in words is "seventy-two million, ninety-six thousand, ninety".