72042072 has 64 divisors (see below), whose sum is σ = 197856000. Its totient is φ = 21757824.

The previous prime is 72042059. The next prime is 72042083. The reversal of 72042072 is 27024027.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7054 + ... + 13922.

It is an arithmetic number, because the mean of its divisors is an integer number (3091500).

Almost surely, 2^72042072 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 72042072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98928000).

72042072 is an abundant number, since it is smaller than the sum of its proper divisors (125813928).

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

72042072 is a wasteful number, since it uses less digits than its factorization.

72042072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 72042072 is about 8487.7601285616. The cubic root of 72042072 is about 416.0977796534.

Adding to 72042072 its reverse (27024027), we get a palindrome (99066099).

The spelling of 72042072 in words is "seventy-two million, forty-two thousand, seventy-two".