75311040 has 168 divisors, whose sum is σ = 278325072. Its totient is φ = 17203200.

The previous prime is 75311011. The next prime is 75311063. The reversal of 75311040 is 4011357.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 75310998 and 75311016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46240 + ... + 47840.

Almost surely, 2^75311040 is an apocalyptic number.

75311040 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 75311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139162536).

75311040 is an abundant number, since it is smaller than the sum of its proper divisors (203014032).

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

75311040 is a wasteful number, since it uses less digits than its factorization.

75311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 75311040 is about 8678.1933603717. The cubic root of 75311040 is about 422.2985092484.

Adding to 75311040 its reverse (4011357), we get a palindrome (79322397).

The spelling of 75311040 in words is "seventy-five million, three hundred eleven thousand, forty".