72764405 has 32 divisors (see below), whose sum is σ = 102574080. Its totient is φ = 48525120.

The previous prime is 72764401. The next prime is 72764431. The reversal of 72764405 is 50446727.

It is not a de Polignac number, because 72764405 - 2² = 72764401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72764401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344750 + ... + 344960.

It is an arithmetic number, because the mean of its divisors is an integer number (3205440).

Almost surely, 2^72764405 is an apocalyptic number.

It is an amenable number.

72764405 is a deficient number, since it is larger than the sum of its proper divisors (29809675).

72764405 is a wasteful number, since it uses less digits than its factorization.

72764405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 72764405 is about 8530.2054488740. The cubic root of 72764405 is about 417.4838317092.

The spelling of 72764405 in words is "seventy-two million, seven hundred sixty-four thousand, four hundred five".