72374400 has 288 divisors, whose sum is σ = 295963200. Its totient is φ = 16496640.

The previous prime is 72374387. The next prime is 72374413. The reversal of 72374400 is 447327.

It is an interprime number because it is at equal distance from previous prime (72374387) and next prime (72374413).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201421 + ... + 201779.

It is an arithmetic number, because the mean of its divisors is an integer number (1027650).

Almost surely, 2^72374400 is an apocalyptic number.

72374400 is a gapful number since it is divisible by the number (70) 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 72374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

72374400 is an abundant number, since it is smaller than the sum of its proper divisors (223588800).

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

72374400 is a wasteful number, since it uses less digits than its factorization.

72374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72374400 is about 8507.3144998877. The cubic root of 72374400 is about 416.7366140348.

The spelling of 72374400 in words is "seventy-two million, three hundred seventy-four thousand, four hundred".