76252000 has 96 divisors (see below), whose sum is σ = 204501024. Its totient is φ = 27712000.

The previous prime is 76251961. The next prime is 76252003. The reversal of 76252000 is 25267.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76252003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43134 + ... + 44866.

It is an arithmetic number, because the mean of its divisors is an integer number (2130219).

Almost surely, 2^76252000 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 76252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102250512).

76252000 is an abundant number, since it is smaller than the sum of its proper divisors (128249024).

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

76252000 is a wasteful number, since it uses less digits than its factorization.

76252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 76252000 is about 8732.2391172024. The cubic root of 76252000 is about 424.0500119007.

Adding to 76252000 its reverse (25267), we get a palindrome (76277267).

The spelling of 76252000 in words is "seventy-six million, two hundred fifty-two thousand".