72025092 has 48 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 23553504.

The previous prime is 72025087. The next prime is 72025097. The reversal of 72025092 is 29052027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72025087) and next prime (72025097).

It is a super-2 number, since 2×72025092² = 10375227755216928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72025097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568 + ... + 12015.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 2^72025092 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 72025092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

72025092 is an abundant number, since it is smaller than the sum of its proper divisors (118244988).

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

72025092 is a wasteful number, since it uses less digits than its factorization.

72025092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12649 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72025092 is about 8486.7598057209. The cubic root of 72025092 is about 416.0650862783.

The spelling of 72025092 in words is "seventy-two million, twenty-five thousand, ninety-two".