72275904 has 84 divisors (see below), whose sum is σ = 208620360. Its totient is φ = 23923200.

The previous prime is 72275899. The next prime is 72275909. The reversal of 72275904 is 40957227.

It is an interprime number because it is at equal distance from previous prime (72275899) and next prime (72275909).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72275909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102754 + ... + 103454.

Almost surely, 2^72275904 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 72275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104310180).

72275904 is an abundant number, since it is smaller than the sum of its proper divisors (136344456).

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

72275904 is a wasteful number, since it uses less digits than its factorization.

72275904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72275904 is about 8501.5236281504. The cubic root of 72275904 is about 416.5474793676.

It can be divided in two parts, 7227 and 5904, that added together give a palindrome (13131).

The spelling of 72275904 in words is "seventy-two million, two hundred seventy-five thousand, nine hundred four".