72748272 has 40 divisors (see below), whose sum is σ = 188358480. Its totient is φ = 24194560.

The previous prime is 72748261. The next prime is 72748301. The reversal of 72748272 is 27284727.

It is a happy number.

It is a super-2 number, since 2×72748272² = 10584622157971968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72748272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23554 + ... + 26462.

It is an arithmetic number, because the mean of its divisors is an integer number (4708962).

Almost surely, 2^72748272 is an apocalyptic number.

It is an amenable number.

72748272 is an abundant number, since it is smaller than the sum of its proper divisors (115610208).

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

72748272 is a wasteful number, since it uses less digits than its factorization.

72748272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3435 counting only the distinct ones).

The product of its digits is 87808, while the sum is 39.

The square root of 72748272 is about 8529.2597568605. The cubic root of 72748272 is about 417.4529752097.

The spelling of 72748272 in words is "seventy-two million, seven hundred forty-eight thousand, two hundred seventy-two".