75005247240 has 512 divisors, whose sum is σ = 312579993600. Its totient is φ = 15542046720.

The previous prime is 75005247223. The next prime is 75005247241. The reversal of 75005247240 is 4274250057.

It is a happy number.

It is a super-2 number, since 2×75005247240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75005247195 and 75005247204.

It is not an unprimeable number, because it can be changed into a prime (75005247241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36007239 + ... + 36009321.

It is an arithmetic number, because the mean of its divisors is an integer number (610507800).

Almost surely, 2^75005247240 is an apocalyptic number.

75005247240 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 75005247240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156289996800).

75005247240 is an abundant number, since it is smaller than the sum of its proper divisors (237574746360).

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

75005247240 is a wasteful number, since it uses less digits than its factorization.

75005247240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

Adding to 75005247240 its reverse (4274250057), we get a palindrome (79279497297).

The spelling of 75005247240 in words is "seventy-five billion, five million, two hundred forty-seven thousand, two hundred forty".