1607216072 has 96 divisors (see below), whose sum is σ = 3917924640. Its totient is φ = 610848000.

The previous prime is 1607215997. The next prime is 1607216141. The reversal of 1607216072 is 2706127061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172247 + ... + 181337.

It is an arithmetic number, because the mean of its divisors is an integer number (40811715).

Almost surely, 2^1607216072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1607216072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958962320).

1607216072 is an abundant number, since it is smaller than the sum of its proper divisors (2310708568).

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

1607216072 is a wasteful number, since it uses less digits than its factorization.

1607216072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 1607216072 is about 40090.0994261676. The cubic root of 1607216072 is about 1171.3627853881.

The spelling of 1607216072 in words is "one billion, six hundred seven million, two hundred sixteen thousand, seventy-two".