75267920 has 160 divisors (see below), whose sum is σ = 220819200. Its totient is φ = 23708160.

The previous prime is 75267917. The next prime is 75267989. The reversal of 75267920 is 2976257.

It is a super-2 number, since 2×75267920² = 11330519562252800, 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 31 ways as a sum of consecutive naturals, for example, 356615 + ... + 356825.

It is an arithmetic number, because the mean of its divisors is an integer number (1380120).

Almost surely, 2^75267920 is an apocalyptic number.

75267920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110409600).

75267920 is an abundant number, since it is smaller than the sum of its proper divisors (145551280).

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

75267920 is a wasteful number, since it uses less digits than its factorization.

75267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 75267920 is about 8675.7086165915. The cubic root of 75267920 is about 422.2178969496.

The spelling of 75267920 in words is "seventy-five million, two hundred sixty-seven thousand, nine hundred twenty".