7182720090 has 256 divisors, whose sum is σ = 24214256640. Its totient is φ = 1474329600.

The previous prime is 7182720073. The next prime is 7182720101. The reversal of 7182720090 is 900272817.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 905140 + ... + 913040.

It is an arithmetic number, because the mean of its divisors is an integer number (94586940).

Almost surely, 2^7182720090 is an apocalyptic number.

7182720090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7182720090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107128320).

7182720090 is an abundant number, since it is smaller than the sum of its proper divisors (17031536550).

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

7182720090 is a wasteful number, since it uses less digits than its factorization.

7182720090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 7182720090 is about 84750.9297294136. The cubic root of 7182720090 is about 1929.4327567777.

The spelling of 7182720090 in words is "seven billion, one hundred eighty-two million, seven hundred twenty thousand, ninety".