72150 has 48 divisors (see below), whose sum is σ = 197904. Its totient is φ = 17280.

The previous prime is 72139. The next prime is 72161. The reversal of 72150 is 5127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72139) and next prime (72161).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1932 + ... + 1968.

It is an arithmetic number, because the mean of its divisors is an integer number (4123).

2⁷²¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952).

72150 is an abundant number, since it is smaller than the sum of its proper divisors (125754).

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

72150 is a wasteful number, since it uses less digits than its factorization.

72150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 72150 is about 268.6075203713. The cubic root of 72150 is about 41.6305464748.

Adding to 72150 its reverse (5127), we get a palindrome (77277).

It can be divided in two parts, 72 and 150, that added together give a palindrome (222).

The spelling of 72150 in words is "seventy-two thousand, one hundred fifty".