72767072 has 96 divisors (see below), whose sum is σ = 176033088. Its totient is φ = 28901376.

The previous prime is 72767059. The next prime is 72767099. The reversal of 72767072 is 27076727.

It is an alternating number because its digits alternate between odd and even.

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 15 ways as a sum of consecutive naturals, for example, 369278 + ... + 369474.

It is an arithmetic number, because the mean of its divisors is an integer number (1833678).

Almost surely, 2^72767072 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 72767072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88016544).

72767072 is an abundant number, since it is smaller than the sum of its proper divisors (103266016).

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

72767072 is a wasteful number, since it uses less digits than its factorization.

72767072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 38.

The square root of 72767072 is about 8530.3617742743. The cubic root of 72767072 is about 417.4889322607.

The spelling of 72767072 in words is "seventy-two million, seven hundred sixty-seven thousand, seventy-two".