72675624 has 96 divisors (see below), whose sum is σ = 218743200. Its totient is φ = 20039040.

The previous prime is 72675593. The next prime is 72675649. The reversal of 72675624 is 42657627.

It is a happy number.

It is a Cunningham number, because it is equal to 8525²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33039 + ... + 35169.

It is an arithmetic number, because the mean of its divisors is an integer number (2278575).

Almost surely, 2^72675624 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 72675624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109371600).

72675624 is an abundant number, since it is smaller than the sum of its proper divisors (146067576).

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

72675624 is a wasteful number, since it uses less digits than its factorization.

72675624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2172 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 72675624 is about 8524.9999413490. Note that the first 4 decimals coincide. The cubic root of 72675624 is about 417.3139697340.

The spelling of 72675624 in words is "seventy-two million, six hundred seventy-five thousand, six hundred twenty-four".