72123630 has 32 divisors (see below), whose sum is σ = 180624384. Its totient is φ = 18396576.

The previous prime is 72123617. The next prime is 72123631. The reversal of 72123630 is 3632127.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72123630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72123631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51574 + ... + 52953.

It is an arithmetic number, because the mean of its divisors is an integer number (5644512).

Almost surely, 2^72123630 is an apocalyptic number.

72123630 is an abundant number, since it is smaller than the sum of its proper divisors (108500754).

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

72123630 is a wasteful number, since it uses less digits than its factorization.

72123630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104560.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 72123630 is about 8492.5632173096. The cubic root of 72123630 is about 416.2547402719.

Adding to 72123630 its reverse (3632127), we get a palindrome (75755757).

The spelling of 72123630 in words is "seventy-two million, one hundred twenty-three thousand, six hundred thirty".