75515040 has 108 divisors (see below), whose sum is σ = 258825294. Its totient is φ = 20049408.

The previous prime is 75515029. The next prime is 75515047. The reversal of 75515040 is 4051557.

It can be written as a sum of positive squares in 3 ways, for example, as 75272976 + 242064 = 8676^2 + 492^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75514995 and 75515013.

It is not an unprimeable number, because it can be changed into a prime (75515047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 329646 + ... + 329874.

Almost surely, 2^75515040 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 75515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129412647).

75515040 is an abundant number, since it is smaller than the sum of its proper divisors (183310254).

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

75515040 is a wasteful number, since it uses less digits than its factorization.

75515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 75515040 is about 8689.9390101427. The cubic root of 75515040 is about 422.6794681224.

Adding to 75515040 its reverse (4051557), we get a palindrome (79566597).

The spelling of 75515040 in words is "seventy-five million, five hundred fifteen thousand, forty".