72657273 has 32 divisors (see below), whose sum is σ = 113397760. Its totient is φ = 40979520.

The previous prime is 72657271. The next prime is 72657281. The reversal of 72657273 is 37275627.

It is not a de Polignac number, because 72657273 - 2¹ = 72657271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72657271) 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 31 ways as a sum of consecutive naturals, for example, 21390 + ... + 24552.

It is an arithmetic number, because the mean of its divisors is an integer number (3543680).

Almost surely, 2^72657273 is an apocalyptic number.

It is an amenable number.

72657273 is a deficient number, since it is larger than the sum of its proper divisors (40740487).

72657273 is a wasteful number, since it uses less digits than its factorization.

72657273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229.

The product of its digits is 123480, while the sum is 39.

The square root of 72657273 is about 8523.9235684044. The cubic root of 72657273 is about 417.2788420763.

The spelling of 72657273 in words is "seventy-two million, six hundred fifty-seven thousand, two hundred seventy-three".