7213609872 has 300 divisors, whose sum is σ = 25130874780. Its totient is φ = 1989453312.

The previous prime is 7213609849. The next prime is 7213609889. The reversal of 7213609872 is 2789063127.

It can be written as a sum of positive squares in 2 ways, for example, as 4872598416 + 2341011456 = 69804^2 + 48384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1839658 + ... + 1843574.

Almost surely, 2^7213609872 is an apocalyptic number.

7213609872 is a gapful number since it is divisible by the number (72) 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 7213609872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565437390).

7213609872 is an abundant number, since it is smaller than the sum of its proper divisors (17917264908).

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

7213609872 is a wasteful number, since it uses less digits than its factorization.

7213609872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7213609872 is about 84932.9728197477. The cubic root of 7213609872 is about 1932.1946873750.

The spelling of 7213609872 in words is "seven billion, two hundred thirteen million, six hundred nine thousand, eight hundred seventy-two".