72705752 has 16 divisors (see below), whose sum is σ = 155798160. Its totient is φ = 31159584.

The previous prime is 72705739. The next prime is 72705769. The reversal of 72705752 is 25750727.

It is a super-2 number, since 2×72705752² = 10572252747771008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 649103 + ... + 649214.

It is an arithmetic number, because the mean of its divisors is an integer number (9737385).

Almost surely, 2^72705752 is an apocalyptic number.

It is an amenable number.

72705752 is an abundant number, since it is smaller than the sum of its proper divisors (83092408).

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

72705752 is a wasteful number, since it uses less digits than its factorization.

72705752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298330 (or 1298326 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 35.

The square root of 72705752 is about 8526.7667963889. The cubic root of 72705752 is about 417.3716282152.

The spelling of 72705752 in words is "seventy-two million, seven hundred five thousand, seven hundred fifty-two".