75714240 has 224 divisors, whose sum is σ = 289681920. Its totient is φ = 16367616.

The previous prime is 75714239. The next prime is 75714241. The reversal of 75714240 is 4241757.

It is an interprime number because it is at equal distance from previous prime (75714239) and next prime (75714241).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×75714240² = 11465292277555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75714198 and 75714207.

It is not an unprimeable number, because it can be changed into a prime (75714241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127384 + ... + 127976.

Almost surely, 2^75714240 is an apocalyptic number.

75714240 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 75714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

75714240 is an abundant number, since it is smaller than the sum of its proper divisors (213967680).

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

75714240 is a wasteful number, since it uses less digits than its factorization.

75714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 75714240 is about 8701.3929919295. The cubic root of 75714240 is about 423.0508017609.

Adding to 75714240 its reverse (4241757), we get a palindrome (79955997).

It can be divided in two parts, 7571 and 4240, that added together give a palindrome (11811).

The spelling of 75714240 in words is "seventy-five million, seven hundred fourteen thousand, two hundred forty".