72090 has 40 divisors (see below), whose sum is σ = 196020. Its totient is φ = 19008.

The previous prime is 72089. The next prime is 72091. The reversal of 72090 is 9027.

It is an interprime number because it is at equal distance from previous prime (72089) and next prime (72091).

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 3969 = 261^2 + 63^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 766 + ... + 854.

2⁷²⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98010).

72090 is an abundant number, since it is smaller than the sum of its proper divisors (123930).

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

72090 is a wasteful number, since it uses less digits than its factorization.

72090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 72090 is about 268.4958100232. The cubic root of 72090 is about 41.6190032754.

72090 divided by its sum of digits (18) gives a triangular number (4005 = T₈₉).

The spelling of 72090 in words is "seventy-two thousand, ninety".