1612067072 has 144 divisors (see below), whose sum is σ = 4096176000. Its totient is φ = 627701760.

The previous prime is 1612067063. The next prime is 1612067087. The reversal of 1612067072 is 2707602161.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965054 + ... + 966722.

Almost surely, 2^1612067072 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 1612067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048088000).

1612067072 is an abundant number, since it is smaller than the sum of its proper divisors (2484108928).

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

1612067072 is an equidigital number, since it uses as much as digits as its factorization.

1612067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1689 counting only the distinct ones).

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

The square root of 1612067072 is about 40150.5550646563. Note that the first 3 decimals coincide. The cubic root of 1612067072 is about 1172.5400951611.

The spelling of 1612067072 in words is "one billion, six hundred twelve million, sixty-seven thousand, seventy-two".