1233682272 has 192 divisors, whose sum is σ = 3796632000. Its totient is φ = 389136384.

The previous prime is 1233682267. The next prime is 1233682277. The reversal of 1233682272 is 2722863321.

1233682272 is a `hidden beast` number, since 1 + 23 + 368 + 2 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (1233682267) and next prime (1233682277).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233682277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327504 + ... + 1328432.

It is an arithmetic number, because the mean of its divisors is an integer number (19774125).

Almost surely, 2^1233682272 is an apocalyptic number.

1233682272 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 1233682272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898316000).

1233682272 is an abundant number, since it is smaller than the sum of its proper divisors (2562949728).

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

1233682272 is a wasteful number, since it uses less digits than its factorization.

1233682272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1233682272 is about 35123.8134603861. The cubic root of 1233682272 is about 1072.5094018443.

The spelling of 1233682272 in words is "one billion, two hundred thirty-three million, six hundred eighty-two thousand, two hundred seventy-two".