42649072 has 40 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 20083392.

The previous prime is 42649037. The next prime is 42649093. The reversal of 42649072 is 27094624.

It is a super-2 number, since 2×42649072² = 3637886684922368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72363 + ... + 72949.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^42649072 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 42649072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

42649072 is an abundant number, since it is smaller than the sum of its proper divisors (44845328).

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

42649072 is a wasteful number, since it uses less digits than its factorization.

42649072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 42649072 is about 6530.6256974351. The cubic root of 42649072 is about 349.3841469247.

The spelling of 42649072 in words is "forty-two million, six hundred forty-nine thousand, seventy-two".