72007920 has 320 divisors, whose sum is σ = 274803840. Its totient is φ = 17252352.

The previous prime is 72007919. The next prime is 72007927. The reversal of 72007920 is 2970027.

It is a Harshad number since it is a multiple of its sum of digits (27).

72007920 is a modest number, since divided by 7920 gives 7200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72007927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358614 + ... + 1358666.

It is an arithmetic number, because the mean of its divisors is an integer number (858762).

Almost surely, 2^72007920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401920).

72007920 is an abundant number, since it is smaller than the sum of its proper divisors (202795920).

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

72007920 is a wasteful number, since it uses less digits than its factorization.

72007920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72007920 is about 8485.7480518809. The cubic root of 72007920 is about 416.0320179991.

Adding to 72007920 its reverse (2970027), we get a palindrome (74977947).

It can be divided in two parts, 72007 and 920, that added together give a palindrome (72927).

The spelling of 72007920 in words is "seventy-two million, seven thousand, nine hundred twenty".