72024705 has 24 divisors (see below), whose sum is σ = 125504808. Its totient is φ = 38209536.

The previous prime is 72024703. The next prime is 72024739. The reversal of 72024705 is 50742027.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 71927361 = 312^2 + 8481^2 .

It is not a de Polignac number, because 72024705 - 2¹ = 72024703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72024703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4539 + ... + 12831.

It is an arithmetic number, because the mean of its divisors is an integer number (5229367).

Almost surely, 2^72024705 is an apocalyptic number.

It is an amenable number.

72024705 is a deficient number, since it is larger than the sum of its proper divisors (53480103).

72024705 is a wasteful number, since it uses less digits than its factorization.

72024705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8497 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72024705 is about 8486.7370054692. The cubic root of 72024705 is about 416.0643410867.

It can be divided in two parts, 720 and 24705, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 72024705 in words is "seventy-two million, twenty-four thousand, seven hundred five".