75272000 has 84 divisors (see below), whose sum is σ = 188352684. Its totient is φ = 29798400.

The previous prime is 75271997. The next prime is 75272009. The reversal of 75272000 is 27257.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 28047616 + 47224384 = 5296^2 + 6872^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75272009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775952 + ... + 776048.

Almost surely, 2^75272000 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 75272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94176342).

75272000 is an abundant number, since it is smaller than the sum of its proper divisors (113080684).

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

75272000 is an frugal number, since it uses more digits than its factorization.

75272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 75272000 is about 8675.9437526992. The cubic root of 75272000 is about 422.2255257770.

Multiplying 75272000 by its product of nonzero digits (980), we get a square (73766560000 = 271600²).

Adding to 75272000 its reverse (27257), we get a palindrome (75299257).

The spelling of 75272000 in words is "seventy-five million, two hundred seventy-two thousand".