75349440 has 392 divisors, whose sum is σ = 299831760. Its totient is φ = 17915904.

The previous prime is 75349399. The next prime is 75349441. The reversal of 75349440 is 4494357.

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 = 75349395 and 75349404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75349441) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3965751 + ... + 3965769.

Almost surely, 2^75349440 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 75349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149915880).

75349440 is an abundant number, since it is smaller than the sum of its proper divisors (224482320).

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

75349440 is a wasteful number, since it uses less digits than its factorization.

75349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 75349440 is about 8680.4055204812. The cubic root of 75349440 is about 422.3702716681.

The spelling of 75349440 in words is "seventy-five million, three hundred forty-nine thousand, four hundred forty".