75772320 has 96 divisors (see below), whose sum is σ = 257064192. Its totient is φ = 18650112.

The previous prime is 75772313. The next prime is 75772357. The reversal of 75772320 is 2327757.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169 + ... + 12311.

It is an arithmetic number, because the mean of its divisors is an integer number (2677752).

Almost surely, 2^75772320 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 75772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128532096).

75772320 is an abundant number, since it is smaller than the sum of its proper divisors (181291872).

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

75772320 is a wasteful number, since it uses less digits than its factorization.

75772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 75772320 is about 8704.7297488205. The cubic root of 75772320 is about 423.1589474700.

The spelling of 75772320 in words is "seventy-five million, seven hundred seventy-two thousand, three hundred twenty".