75722400 has 216 divisors, whose sum is σ = 287911260. Its totient is φ = 18616320.

The previous prime is 75722399. The next prime is 75722401. The reversal of 75722400 is 422757.

It is an interprime number because it is at equal distance from previous prime (75722399) and next prime (75722401).

It can be written as a sum of positive squares in 6 ways, for example, as 28772496 + 46949904 = 5364^2 + 6852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75722401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93196 + ... + 94004.

Almost surely, 2^75722400 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 75722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143955630).

75722400 is an abundant number, since it is smaller than the sum of its proper divisors (212188860).

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

75722400 is a wasteful number, since it uses less digits than its factorization.

75722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 75722400 is about 8701.8618697380. The cubic root of 75722400 is about 423.0659991246.

The spelling of 75722400 in words is "seventy-five million, seven hundred twenty-two thousand, four hundred".