72405150 has 96 divisors (see below), whose sum is σ = 193701888. Its totient is φ = 17846400.

The previous prime is 72405107. The next prime is 72405167. The reversal of 72405150 is 5150427.

It is a self number, because there is not a number n which added to its sum of digits gives 72405150.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 106612 + ... + 107288.

It is an arithmetic number, because the mean of its divisors is an integer number (2017728).

Almost surely, 2^72405150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72405150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96850944).

72405150 is an abundant number, since it is smaller than the sum of its proper divisors (121296738).

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

72405150 is a wasteful number, since it uses less digits than its factorization.

72405150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 72405150 is about 8509.1215762851. The cubic root of 72405150 is about 416.7956258605.

Adding to 72405150 its reverse (5150427), we get a palindrome (77555577).

The spelling of 72405150 in words is "seventy-two million, four hundred five thousand, one hundred fifty".