2023632072 has 288 divisors, whose sum is σ = 7145611200. Its totient is φ = 525191040.

The previous prime is 2023632059. The next prime is 2023632089. The reversal of 2023632072 is 2702363202.

2023632072 is a `hidden beast` number, since 2 + 0 + 23 + 632 + 0 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1645954 + ... + 1647182.

It is an arithmetic number, because the mean of its divisors is an integer number (24811150).

Almost surely, 2^2023632072 is an apocalyptic number.

2023632072 is a gapful number since it is divisible by the number (22) 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 2023632072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572805600).

2023632072 is an abundant number, since it is smaller than the sum of its proper divisors (5121979128).

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

2023632072 is a wasteful number, since it uses less digits than its factorization.

2023632072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2023632072 is about 44984.7982322918. The cubic root of 2023632072 is about 1264.8640559646.

Adding to 2023632072 its reverse (2702363202), we get a palindrome (4725995274).

The spelling of 2023632072 in words is "two billion, twenty-three million, six hundred thirty-two thousand, seventy-two".