72824070 has 64 divisors (see below), whose sum is σ = 193342464. Its totient is φ = 17406720.

The previous prime is 72824051. The next prime is 72824123. The reversal of 72824070 is 7042827.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22579 + ... + 25601.

It is an arithmetic number, because the mean of its divisors is an integer number (3020976).

Almost surely, 2^72824070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72824070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96671232).

72824070 is an abundant number, since it is smaller than the sum of its proper divisors (120518394).

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

72824070 is a wasteful number, since it uses less digits than its factorization.

72824070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117.

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 72824070 is about 8533.7020102649. The cubic root of 72824070 is about 417.5979093163.

Adding to 72824070 its reverse (7042827), we get a palindrome (79866897).

The spelling of 72824070 in words is "seventy-two million, eight hundred twenty-four thousand, seventy".