72006144 has 160 divisors (see below), whose sum is σ = 226402176. Its totient is φ = 19906560.

The previous prime is 72006133. The next prime is 72006157. The reversal of 72006144 is 44160027.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 397734 + ... + 397914.

Almost surely, 2^72006144 is an apocalyptic number.

72006144 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113201088).

72006144 is an abundant number, since it is smaller than the sum of its proper divisors (154396032).

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

72006144 is a wasteful number, since it uses less digits than its factorization.

72006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72006144 is about 8485.6434051874. The cubic root of 72006144 is about 416.0285976396.

The spelling of 72006144 in words is "seventy-two million, six thousand, one hundred forty-four".