51172000 has 96 divisors (see below), whose sum is σ = 137277504. Its totient is φ = 18592000.

The previous prime is 51171947. The next prime is 51172003. The reversal of 51172000 is 27115.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (51172003) 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, 43419 + ... + 44581.

It is an arithmetic number, because the mean of its divisors is an integer number (1429974).

Almost surely, 2^51172000 is an apocalyptic number.

51172000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68638752).

51172000 is an abundant number, since it is smaller than the sum of its proper divisors (86105504).

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

51172000 is a wasteful number, since it uses less digits than its factorization.

51172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 51172000 is about 7153.4607009475. The cubic root of 51172000 is about 371.2594045088.

Adding to 51172000 its reverse (27115), we get a palindrome (51199115).

It can be divided in two parts, 5117 and 2000, that added together give a palindrome (7117).

The spelling of 51172000 in words is "fifty-one million, one hundred seventy-two thousand".