72126150 has 48 divisors (see below), whose sum is σ = 184654848. Its totient is φ = 18612000.

The previous prime is 72126133. The next prime is 72126151. The reversal of 72126150 is 5162127.

It is a self number, because there is not a number n which added to its sum of digits gives 72126150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72126151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3106 + ... + 12405.

It is an arithmetic number, because the mean of its divisors is an integer number (3846976).

Almost surely, 2^72126150 is an apocalyptic number.

72126150 is an abundant number, since it is smaller than the sum of its proper divisors (112528698).

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

72126150 is a wasteful number, since it uses less digits than its factorization.

72126150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15557 (or 15552 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 72126150 is about 8492.7115811147. The cubic root of 72126150 is about 416.2595881964.

Adding to 72126150 its reverse (5162127), we get a palindrome (77288277).

The spelling of 72126150 in words is "seventy-two million, one hundred twenty-six thousand, one hundred fifty".