72894150 has 144 divisors (see below), whose sum is σ = 227601504. Its totient is φ = 16381440.

The previous prime is 72894131. The next prime is 72894167. The reversal of 72894150 is 5149827.

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 229792 + ... + 230108.

It is an arithmetic number, because the mean of its divisors is an integer number (1580566).

Almost surely, 2^72894150 is an apocalyptic number.

72894150 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72894150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113800752).

72894150 is an abundant number, since it is smaller than the sum of its proper divisors (154707354).

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

72894150 is a wasteful number, since it uses less digits than its factorization.

72894150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 72894150 is about 8537.8070955017. The cubic root of 72894150 is about 417.7318205309.

The spelling of 72894150 in words is "seventy-two million, eight hundred ninety-four thousand, one hundred fifty".