72577340 has 96 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 24606720.

The previous prime is 72577333. The next prime is 72577381. The reversal of 72577340 is 4377527.

It is a self number, because there is not a number n which added to its sum of digits gives 72577340.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 405371 + ... + 405549.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^72577340 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 72577340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

72577340 is an abundant number, since it is smaller than the sum of its proper divisors (105233860).

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

72577340 is a wasteful number, since it uses less digits than its factorization.

72577340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 35.

The square root of 72577340 is about 8519.2335335991. The cubic root of 72577340 is about 417.1257645419.

The spelling of 72577340 in words is "seventy-two million, five hundred seventy-seven thousand, three hundred forty".