75673640 has 48 divisors (see below), whose sum is σ = 198069300. Its totient is φ = 25944576.

The previous prime is 75673603. The next prime is 75673643. The reversal of 75673640 is 4637657.

It can be written as a sum of positive squares in 2 ways, for example, as 73170916 + 2502724 = 8554^2 + 1582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75673594 and 75673603.

It is not an unprimeable number, because it can be changed into a prime (75673643) 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, 17345 + ... + 21264.

Almost surely, 2^75673640 is an apocalyptic number.

75673640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75673640 is an abundant number, since it is smaller than the sum of its proper divisors (122395660).

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

75673640 is a wasteful number, since it uses less digits than its factorization.

75673640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38634 (or 38623 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 75673640 is about 8699.0597193030. The cubic root of 75673640 is about 422.9751711903.

The spelling of 75673640 in words is "seventy-five million, six hundred seventy-three thousand, six hundred forty".