72753345 has 48 divisors (see below), whose sum is σ = 146195712. Its totient is φ = 32780160.

The previous prime is 72753341. The next prime is 72753361. The reversal of 72753345 is 54335727.

It is not a de Polignac number, because 72753345 - 2² = 72753341 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72753341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20739 + ... + 23991.

It is an arithmetic number, because the mean of its divisors is an integer number (3045744).

Almost surely, 2^72753345 is an apocalyptic number.

It is an amenable number.

72753345 is an abundant number, since it is smaller than the sum of its proper divisors (73442367).

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

72753345 is a wasteful number, since it uses less digits than its factorization.

72753345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3339 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 72753345 is about 8529.5571397347. The cubic root of 72753345 is about 417.4626784858.

The spelling of 72753345 in words is "seventy-two million, seven hundred fifty-three thousand, three hundred forty-five".