75735040 has 84 divisors (see below), whose sum is σ = 186078114. Its totient is φ = 29589504.

The previous prime is 75735013. The next prime is 75735043. The reversal of 75735040 is 4053757.

It can be written as a sum of positive squares in only one way, i.e., 68161536 + 7573504 = 8256^2 + 2752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75734993 and 75735011.

It is not an unprimeable number, because it can be changed into a prime (75735043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1761259 + ... + 1761301.

Almost surely, 2^75735040 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 75735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93039057).

75735040 is an abundant number, since it is smaller than the sum of its proper divisors (110343074).

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

75735040 is an frugal number, since it uses more digits than its factorization.

75735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 31.

The square root of 75735040 is about 8702.5881207834. The cubic root of 75735040 is about 423.0895379837.

Adding to 75735040 its reverse (4053757), we get a palindrome (79788797).

It can be divided in two parts, 7 and 5735040, that multiplied together give a triangular number (40145280 = T₈₉₆₀).

The spelling of 75735040 in words is "seventy-five million, seven hundred thirty-five thousand, forty".