72040144 has 40 divisors (see below), whose sum is σ = 155159712. Its totient is φ = 32123520.

The previous prime is 72040139. The next prime is 72040151. The reversal of 72040144 is 44104027.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5467 + ... + 13189.

Almost surely, 2^72040144 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 72040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77579856).

72040144 is an abundant number, since it is smaller than the sum of its proper divisors (83119568).

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

72040144 is a wasteful number, since it uses less digits than its factorization.

72040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 72040144 is about 8487.6465524903. The cubic root of 72040144 is about 416.0940677313.

The spelling of 72040144 in words is "seventy-two million, forty thousand, one hundred forty-four".