402075072 has 84 divisors (see below), whose sum is σ = 1317128176. Its totient is φ = 114877440.

The previous prime is 402075071. The next prime is 402075097. The reversal of 402075072 is 270570204.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402075071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45829 + ... + 53892.

Almost surely, 2^402075072 is an apocalyptic number.

402075072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

402075072 is an abundant number, since it is smaller than the sum of its proper divisors (915053104).

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

402075072 is a wasteful number, since it uses less digits than its factorization.

402075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99746 (or 99733 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 402075072 is about 20051.8096938905. The cubic root of 402075072 is about 738.0782079411.

The spelling of 402075072 in words is "four hundred two million, seventy-five thousand, seventy-two".