72272574 has 72 divisors (see below), whose sum is σ = 178640280. Its totient is φ = 21882960.

The previous prime is 72272573. The next prime is 72272587. The reversal of 72272574 is 47527227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72272573) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58192 + ... + 59420.

It is an arithmetic number, because the mean of its divisors is an integer number (2481115).

Almost surely, 2^72272574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72272574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89320140).

72272574 is an abundant number, since it is smaller than the sum of its proper divisors (106367706).

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

72272574 is a wasteful number, since it uses less digits than its factorization.

72272574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1245 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 72272574 is about 8501.3277786473. The cubic root of 72272574 is about 416.5410820100.

It can be divided in two parts, 7227 and 2574, that added together give a square (9801 = 99²).

The spelling of 72272574 in words is "seventy-two million, two hundred seventy-two thousand, five hundred seventy-four".