72026952 has 64 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 23030784.

The previous prime is 72026939. The next prime is 72026953. The reversal of 72026952 is 25962027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72026953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166128 + ... + 166560.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^72026952 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 72026952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

72026952 is an abundant number, since it is smaller than the sum of its proper divisors (115461048).

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

72026952 is a wasteful number, since it uses less digits than its factorization.

72026952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72026952 is about 8486.8693874714. The cubic root of 72026952 is about 416.0686677820.

Adding to 72026952 its reverse (25962027), we get a palindrome (97988979).

It can be divided in two parts, 720 and 26952, that added together give a palindrome (27672).

The spelling of 72026952 in words is "seventy-two million, twenty-six thousand, nine hundred fifty-two".