72437442 has 128 divisors (see below), whose sum is σ = 200060928. Its totient is φ = 16896000.

The previous prime is 72437437. The next prime is 72437471. The reversal of 72437442 is 24473427.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 180442 + ... + 180842.

It is an arithmetic number, because the mean of its divisors is an integer number (1562976).

Almost surely, 2^72437442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72437442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100030464).

72437442 is an abundant number, since it is smaller than the sum of its proper divisors (127623486).

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

72437442 is a wasteful number, since it uses less digits than its factorization.

72437442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464.

The product of its digits is 37632, while the sum is 33.

The square root of 72437442 is about 8511.0188579276. The cubic root of 72437442 is about 416.8575789304.

The spelling of 72437442 in words is "seventy-two million, four hundred thirty-seven thousand, four hundred forty-two".