1020072042 has 80 divisors (see below), whose sum is σ = 2579623200. Its totient is φ = 298438560.

The previous prime is 1020071993. The next prime is 1020072049. The reversal of 1020072042 is 2402700201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1020072049) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41809 + ... + 61547.

It is an arithmetic number, because the mean of its divisors is an integer number (32245290).

Almost surely, 2^1020072042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020072042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289811600).

1020072042 is an abundant number, since it is smaller than the sum of its proper divisors (1559551158).

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

1020072042 is a wasteful number, since it uses less digits than its factorization.

1020072042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19793 (or 19784 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1020072042 is about 31938.5666866877. The cubic root of 1020072042 is about 1006.6464080588.

Adding to 1020072042 its reverse (2402700201), we get a palindrome (3422772243).

The spelling of 1020072042 in words is "one billion, twenty million, seventy-two thousand, forty-two".