52719600 has 60 divisors (see below), whose sum is σ = 168882296. Its totient is φ = 14058240.

The previous prime is 52719587. The next prime is 52719607. The reversal of 52719600 is 691725.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52719607) 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, 20767 + ... + 23166.

Almost surely, 2^52719600 is an apocalyptic number.

52719600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52719600 is an abundant number, since it is smaller than the sum of its proper divisors (116162696).

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

52719600 is a wasteful number, since it uses less digits than its factorization.

52719600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43954 (or 43943 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 52719600 is about 7260.8263992469. The cubic root of 52719600 is about 374.9649745065.

The spelling of 52719600 in words is "fifty-two million, seven hundred nineteen thousand, six hundred".