72630018 has 48 divisors (see below), whose sum is σ = 169019136. Its totient is φ = 22458240.

The previous prime is 72630017. The next prime is 72630023. The reversal of 72630018 is 81003627.

It is a junction number, because it is equal to n+sod(n) for n = 72629973 and 72630000.

It is not an unprimeable number, because it can be changed into a prime (72630017) by changing a digit.

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, 20055 + ... + 23397.

It is an arithmetic number, because the mean of its divisors is an integer number (3521232).

Almost surely, 2^72630018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72630018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84509568).

72630018 is an abundant number, since it is smaller than the sum of its proper divisors (96389118).

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

72630018 is a wasteful number, since it uses less digits than its factorization.

72630018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72630018 is about 8522.3246828550. The cubic root of 72630018 is about 417.2266593802.

The spelling of 72630018 in words is "seventy-two million, six hundred thirty thousand, eighteen".