72624000 has 256 divisors, whose sum is σ = 257774400. Its totient is φ = 18022400.

The previous prime is 72623987. The next prime is 72624037. The reversal of 72624000 is 42627.

It is a happy number.

It is a congruent number.

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, 815956 + ... + 816044.

Almost surely, 2^72624000 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 72624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

72624000 is an abundant number, since it is smaller than the sum of its proper divisors (185150400).

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

72624000 is a wasteful number, since it uses less digits than its factorization.

72624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72624000 is about 8521.9716028628. The cubic root of 72624000 is about 417.2151354977.

Adding to 72624000 its reverse (42627), we get a palindrome (72666627).

The spelling of 72624000 in words is "seventy-two million, six hundred twenty-four thousand".