51724764 has 192 divisors, whose sum is σ = 174361600. Its totient is φ = 12877056.

The previous prime is 51724747. The next prime is 51724781. The reversal of 51724764 is 46742715.

It is an interprime number because it is at equal distance from previous prime (51724747) and next prime (51724781).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186594 + ... + 186870.

Almost surely, 2^51724764 is an apocalyptic number.

51724764 is a gapful number since it is divisible by the number (54) 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 51724764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87180800).

51724764 is an abundant number, since it is smaller than the sum of its proper divisors (122636836).

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

51724764 is a wasteful number, since it uses less digits than its factorization.

51724764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 51724764 is about 7191.9930478276. The cubic root of 51724764 is about 372.5914109850.

It can be divided in two parts, 517 and 24764, that added together give a square (25281 = 159²).

The spelling of 51724764 in words is "fifty-one million, seven hundred twenty-four thousand, seven hundred sixty-four".