1233507072 has 144 divisors (see below), whose sum is σ = 3774041600. Its totient is φ = 350355456.

The previous prime is 1233507059. The next prime is 1233507103. The reversal of 1233507072 is 2707053321.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1069248 + ... + 1070400.

Almost surely, 2^1233507072 is an apocalyptic number.

1233507072 is a gapful number since it is divisible by the number (12) 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 1233507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887020800).

1233507072 is an abundant number, since it is smaller than the sum of its proper divisors (2540534528).

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

1233507072 is a wasteful number, since it uses less digits than its factorization.

1233507072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 1233507072 is about 35121.3193374053. The cubic root of 1233507072 is about 1072.4586290354.

The spelling of 1233507072 in words is "one billion, two hundred thirty-three million, five hundred seven thousand, seventy-two".