75701472 has 288 divisors, whose sum is σ = 268128000. Its totient is φ = 18627840.

The previous prime is 75701447. The next prime is 75701477. The reversal of 75701472 is 27410757.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75701477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3984279 + ... + 3984297.

It is an arithmetic number, because the mean of its divisors is an integer number (931000).

Almost surely, 2^75701472 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 75701472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064000).

75701472 is an abundant number, since it is smaller than the sum of its proper divisors (192426528).

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

75701472 is a wasteful number, since it uses less digits than its factorization.

75701472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 75701472 is about 8700.6592853645. The cubic root of 75701472 is about 423.0270201653.

The spelling of 75701472 in words is "seventy-five million, seven hundred one thousand, four hundred seventy-two".