72649755 has 48 divisors (see below), whose sum is σ = 139164480. Its totient is φ = 34873344.

The previous prime is 72649751. The next prime is 72649757. The reversal of 72649755 is 55794627.

It is not a de Polignac number, because 72649755 - 2² = 72649751 is a prime.

It is a super-3 number, since 3×72649755³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72649755.

It is not an unprimeable number, because it can be changed into a prime (72649751) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15531 + ... + 19659.

It is an arithmetic number, because the mean of its divisors is an integer number (2899260).

Almost surely, 2^72649755 is an apocalyptic number.

72649755 is a deficient number, since it is larger than the sum of its proper divisors (66514725).

72649755 is a wasteful number, since it uses less digits than its factorization.

72649755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4177 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 72649755 is about 8523.4825628965. The cubic root of 72649755 is about 417.2644493417.

The spelling of 72649755 in words is "seventy-two million, six hundred forty-nine thousand, seven hundred fifty-five".