72183150 has 144 divisors (see below), whose sum is σ = 217059024. Its totient is φ = 17729280.

The previous prime is 72183149. The next prime is 72183151. The reversal of 72183150 is 5138127.

It is an interprime number because it is at equal distance from previous prime (72183149) and next prime (72183151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72183151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157722 + ... + 158178.

Almost surely, 2^72183150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72183150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108529512).

72183150 is an abundant number, since it is smaller than the sum of its proper divisors (144875874).

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

72183150 is a wasteful number, since it uses less digits than its factorization.

72183150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72183150 is about 8496.0667370260. The cubic root of 72183150 is about 416.3692134802.

The spelling of 72183150 in words is "seventy-two million, one hundred eighty-three thousand, one hundred fifty".