23072400 has 360 divisors, whose sum is σ = 94447080. Its totient is φ = 5160960.

The previous prime is 23072393. The next prime is 23072407. The reversal of 23072400 is 427032.

23072400 = T₁₄₄ + T₁₄₅ + ... + T₅₂₀.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23072393) and next prime (23072407).

It can be written as a sum of positive squares in 12 ways, for example, as 6718464 + 16353936 = 2592^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23072407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795586 + ... + 795614.

It is an arithmetic number, because the mean of its divisors is an integer number (262353).

Almost surely, 2^23072400 is an apocalyptic number.

23072400 is a gapful number since it is divisible by the number (20) 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 23072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223540).

23072400 is an abundant number, since it is smaller than the sum of its proper divisors (71374680).

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

23072400 is a wasteful number, since it uses less digits than its factorization.

23072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 23072400 is about 4803.3738143101. The cubic root of 23072400 is about 284.6847853834.

Adding to 23072400 its reverse (427032), we get a palindrome (23499432).

The spelling of 23072400 in words is "twenty-three million, seventy-two thousand, four hundred".