75641040 has 140 divisors (see below), whose sum is σ = 263880804. Its totient is φ = 20155392.

The previous prime is 75641029. The next prime is 75641047. The reversal of 75641040 is 4014657.

It can be written as a sum of positive squares in 2 ways, for example, as 58798224 + 16842816 = 7668^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75640995 and 75641013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75641047) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57672 + ... + 58968.

Almost surely, 2^75641040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131940402).

75641040 is an abundant number, since it is smaller than the sum of its proper divisors (188239764).

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

75641040 is a wasteful number, since it uses less digits than its factorization.

75641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75641040 is about 8697.1857517245. The cubic root of 75641040 is about 422.9144236119.

Adding to 75641040 its reverse (4014657), we get a palindrome (79655697).

The spelling of 75641040 in words is "seventy-five million, six hundred forty-one thousand, forty".