72633000 has 256 divisors, whose sum is σ = 258785280. Its totient is φ = 16800000.

The previous prime is 72632971. The next prime is 72633007. The reversal of 72633000 is 33627.

It is not an unprimeable number, because it can be changed into a prime (72633007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1022965 + ... + 1023035.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 2^72633000 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 72633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129392640).

72633000 is an abundant number, since it is smaller than the sum of its proper divisors (186152280).

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

72633000 is a wasteful number, since it uses less digits than its factorization.

72633000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 72633000 is about 8522.4996333235. The cubic root of 72633000 is about 417.2323693832.

Adding to 72633000 its reverse (33627), we get a palindrome (72666627).

The spelling of 72633000 in words is "seventy-two million, six hundred thirty-three thousand".