51294672 has 240 divisors, whose sum is σ = 175488768. Its totient is φ = 13777920.

The previous prime is 51294671. The next prime is 51294689. The reversal of 51294672 is 27649215.

It is a super-2 number, since 2×51294672² = 5262286751175168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51294671) 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, 967798 + ... + 967850.

Almost surely, 2^51294672 is an apocalyptic number.

51294672 is a gapful number since it is divisible by the number (52) 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 51294672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

51294672 is an abundant number, since it is smaller than the sum of its proper divisors (124194096).

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

51294672 is a wasteful number, since it uses less digits than its factorization.

51294672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 51294672 is about 7162.0298798595. The cubic root of 51294672 is about 371.5558347788. Note that the first 3 decimals are identical.

It can be divided in two parts, 5129 and 4672, that added together give a square (9801 = 99²).

The spelling of 51294672 in words is "fifty-one million, two hundred ninety-four thousand, six hundred seventy-two".