75722900 has 144 divisors (see below), whose sum is σ = 194237568. Its totient is φ = 25344000.

The previous prime is 75722897. The next prime is 75722917. The reversal of 75722900 is 922757.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037264 + ... + 1037336.

It is an arithmetic number, because the mean of its divisors is an integer number (1348872).

Almost surely, 2^75722900 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 75722900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97118784).

75722900 is an abundant number, since it is smaller than the sum of its proper divisors (118514668).

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

75722900 is a wasteful number, since it uses less digits than its factorization.

75722900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 75722900 is about 8701.8905991744. The cubic root of 75722900 is about 423.0669303001.

The spelling of 75722900 in words is "seventy-five million, seven hundred twenty-two thousand, nine hundred".