72576000 has 440 divisors, whose sum is σ = 309113376. Its totient is φ = 16588800.

The previous prime is 72575999. The next prime is 72576001. The reversal of 72576000 is 67527.

It is a Jordan-Polya number, since it can be written as 7! ⋅ (5!)².

72576000 is a `hidden beast` number, since 7 + 2 + 57 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72575999) and next prime (72576001).

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

It is not an unprimeable number, because it can be changed into a prime (72576001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367997 + ... + 10368003.

Almost surely, 2^72576000 is an apocalyptic number.

72576000 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 72576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154556688).

72576000 is an abundant number, since it is smaller than the sum of its proper divisors (236537376).

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

72576000 is an equidigital number, since it uses as much as digits as its factorization.

72576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72576000 is about 8519.1548876634. The cubic root of 72576000 is about 417.1231973864.

The spelling of 72576000 in words is "seventy-two million, five hundred seventy-six thousand".