7842072 has 32 divisors (see below), whose sum is σ = 22406400. Its totient is φ = 2240544.

The previous prime is 7842067. The next prime is 7842073. The reversal of 7842072 is 2702487.

It is a super-2 number, since 2×7842072² = 122996186506368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23172 + ... + 23507.

It is an arithmetic number, because the mean of its divisors is an integer number (700200).

Almost surely, 2^7842072 is an apocalyptic number.

It is an amenable number.

7842072 is an abundant number, since it is smaller than the sum of its proper divisors (14564328).

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

7842072 is a wasteful number, since it uses less digits than its factorization.

7842072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46695 (or 46691 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 7842072 is about 2800.3699755568. The cubic root of 7842072 is about 198.6751769298.

The spelling of 7842072 in words is "seven million, eight hundred forty-two thousand, seventy-two".