75346040 has 128 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 22087680.

The previous prime is 75346003. The next prime is 75346043. The reversal of 75346040 is 4064357.

It is a junction number, because it is equal to n+sod(n) for n = 75345994 and 75346012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75346043) 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, 51641 + ... + 53079.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^75346040 is an apocalyptic number.

75346040 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 75346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111974400).

75346040 is an abundant number, since it is smaller than the sum of its proper divisors (148602760).

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

75346040 is a wasteful number, since it uses less digits than its factorization.

75346040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 75346040 is about 8680.2096748869. The cubic root of 75346040 is about 422.3639186878.

The spelling of 75346040 in words is "seventy-five million, three hundred forty-six thousand, forty".