1201833072 has 80 divisors (see below), whose sum is σ = 3763330560. Its totient is φ = 364190400.

The previous prime is 1201833047. The next prime is 1201833077. The reversal of 1201833072 is 2703381021.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201833077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121704 + ... + 131207.

It is an arithmetic number, because the mean of its divisors is an integer number (47041632).

Almost surely, 2^1201833072 is an apocalyptic number.

1201833072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1201833072 is an abundant number, since it is smaller than the sum of its proper divisors (2561497488).

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

1201833072 is a wasteful number, since it uses less digits than its factorization.

1201833072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252939 (or 252927 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1201833072 is about 34667.4641703139. The cubic root of 1201833072 is about 1063.1993854742.

The spelling of 1201833072 in words is "one billion, two hundred one million, eight hundred thirty-three thousand, seventy-two".