73272000 has 224 divisors, whose sum is σ = 251057664. Its totient is φ = 18816000.

The previous prime is 73271987. The next prime is 73272011. The reversal of 73272000 is 27237.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031965 + ... + 1032035.

Almost surely, 2^73272000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125528832).

73272000 is an abundant number, since it is smaller than the sum of its proper divisors (177785664).

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

73272000 is a wasteful number, since it uses less digits than its factorization.

73272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 73272000 is about 8559.9065415459. The cubic root of 73272000 is about 418.4523540150.

Adding to 73272000 its reverse (27237), we get a palindrome (73299237).

The spelling of 73272000 in words is "seventy-three million, two hundred seventy-two thousand".