75412320 has 48 divisors (see below), whose sum is σ = 237550320. Its totient is φ = 20109824.

The previous prime is 75412301. The next prime is 75412321. The reversal of 75412320 is 2321457.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75412321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78075 + ... + 79034.

It is an arithmetic number, because the mean of its divisors is an integer number (4948965).

Almost surely, 2^75412320 is an apocalyptic number.

It is an amenable number.

75412320 is an abundant number, since it is smaller than the sum of its proper divisors (162138000).

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

75412320 is a wasteful number, since it uses less digits than its factorization.

75412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157127 (or 157119 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 75412320 is about 8684.0267157581. The cubic root of 75412320 is about 422.4877299986.

Adding to 75412320 its reverse (2321457), we get a palindrome (77733777).

The spelling of 75412320 in words is "seventy-five million, four hundred twelve thousand, three hundred twenty".