72741000 has 64 divisors (see below), whose sum is σ = 226961280. Its totient is φ = 19396800.

The previous prime is 72740981. The next prime is 72741037. The reversal of 72741000 is 14727.

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, 9124 + ... + 15123.

It is an arithmetic number, because the mean of its divisors is an integer number (3546270).

Almost surely, 2^72741000 is an apocalyptic number.

It is an amenable number.

72741000 is an abundant number, since it is smaller than the sum of its proper divisors (154220280).

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

72741000 is a wasteful number, since it uses less digits than its factorization.

72741000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24271 (or 24257 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 72741000 is about 8528.8334489542. The cubic root of 72741000 is about 417.4390650548.

Adding to 72741000 its reverse (14727), we get a palindrome (72755727).

The spelling of 72741000 in words is "seventy-two million, seven hundred forty-one thousand".