72094144 has 112 divisors (see below), whose sum is σ = 164153088. Its totient is φ = 31223808.

The previous prime is 72094123. The next prime is 72094153. The reversal of 72094144 is 44149027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075999 + ... + 1076065.

Almost surely, 2^72094144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82076544).

72094144 is an abundant number, since it is smaller than the sum of its proper divisors (92058944).

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

72094144 is a wasteful number, since it uses less digits than its factorization.

72094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 72094144 is about 8490.8270504115. The cubic root of 72094144 is about 416.1980073156.

It can be divided in two parts, 720 and 94144, that added together give a square (94864 = 308²).

The spelling of 72094144 in words is "seventy-two million, ninety-four thousand, one hundred forty-four".