72580362 has 32 divisors (see below), whose sum is σ = 152323584. Its totient is φ = 23025600.

The previous prime is 72580357. The next prime is 72580367. The reversal of 72580362 is 26308527.

It is an interprime number because it is at equal distance from previous prime (72580357) and next prime (72580367).

It is not an unprimeable number, because it can be changed into a prime (72580367) 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 15 ways as a sum of consecutive naturals, for example, 8148 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (4760112).

Almost surely, 2^72580362 is an apocalyptic number.

72580362 is an abundant number, since it is smaller than the sum of its proper divisors (79743222).

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

72580362 is a wasteful number, since it uses less digits than its factorization.

72580362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72580362 is about 8519.4108951265. The cubic root of 72580362 is about 417.1315539365.

Adding to 72580362 its reverse (26308527), we get a palindrome (98888889).

The spelling of 72580362 in words is "seventy-two million, five hundred eighty thousand, three hundred sixty-two".