75271840 has 72 divisors (see below), whose sum is σ = 206884692. Its totient is φ = 25804800.

The previous prime is 75271837. The next prime is 75271843. The reversal of 75271840 is 4817257.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75271837) and next prime (75271843).

It can be written as a sum of positive squares in 2 ways, for example, as 74857104 + 414736 = 8652^2 + 644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75271796 and 75271805.

It is not an unprimeable number, because it can be changed into a prime (75271843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3040 + ... + 12640.

Almost surely, 2^75271840 is an apocalyptic number.

75271840 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 75271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103442346).

75271840 is an abundant number, since it is smaller than the sum of its proper divisors (131612852).

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

75271840 is a wasteful number, since it uses less digits than its factorization.

75271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9630 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 75271840 is about 8675.9345317954. The cubic root of 75271840 is about 422.2252266125.

The spelling of 75271840 in words is "seventy-five million, two hundred seventy-one thousand, eight hundred forty".