1201809672 has 72 divisors (see below), whose sum is σ = 3786324750. Its totient is φ = 343373184.

The previous prime is 1201809667. The next prime is 1201809673. The reversal of 1201809672 is 2769081021.

It can be written as a sum of positive squares in only one way, i.e., 1194808356 + 7001316 = 34566^2 + 2646^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1201809673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166797 + ... + 173852.

Almost surely, 2^1201809672 is an apocalyptic number.

1201809672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1201809672 is an abundant number, since it is smaller than the sum of its proper divisors (2584515078).

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

1201809672 is a wasteful number, since it uses less digits than its factorization.

1201809672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340675 (or 340661 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1201809672 is about 34667.1266764351. The cubic root of 1201809672 is about 1063.1924851740.

The spelling of 1201809672 in words is "one billion, two hundred one million, eight hundred nine thousand, six hundred seventy-two".