80072442 has 48 divisors (see below), whose sum is σ = 183983040. Its totient is φ = 25813080.

The previous prime is 80072429. The next prime is 80072449. The reversal of 80072442 is 24427008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80072449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51123 + ... + 52665.

It is an arithmetic number, because the mean of its divisors is an integer number (3832980).

Almost surely, 2^80072442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80072442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91991520).

80072442 is an abundant number, since it is smaller than the sum of its proper divisors (103910598).

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

80072442 is a wasteful number, since it uses less digits than its factorization.

80072442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 80072442 is about 8948.3206245641. The cubic root of 80072442 is about 431.0169584002.

The spelling of 80072442 in words is "eighty million, seventy-two thousand, four hundred forty-two".