72705744 has 30 divisors (see below), whose sum is σ = 203475506. Its totient is φ = 24235200.

The previous prime is 72705739. The next prime is 72705769. The reversal of 72705744 is 44750727.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65415744 + 7290000 = 8088^2 + 2700^2 .

It is a super-2 number, since 2×72705744² = 10572250421187072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 72705699 and 72705708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252307 + ... + 252594.

Almost surely, 2^72705744 is an apocalyptic number.

It is an amenable number.

72705744 is an abundant number, since it is smaller than the sum of its proper divisors (130769762).

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

72705744 is a wasteful number, since it uses less digits than its factorization.

72705744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504915 (or 504906 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 72705744 is about 8526.7663272779. The cubic root of 72705744 is about 417.3716129071.

The spelling of 72705744 in words is "seventy-two million, seven hundred five thousand, seven hundred forty-four".