72649692 has 36 divisors (see below), whose sum is σ = 193309480. Its totient is φ = 22941792.

The previous prime is 72649679. The next prime is 72649693. The reversal of 72649692 is 29694627.

72649692 is a `hidden beast` number, since 72 + 6 + 496 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72649693) 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 11 ways as a sum of consecutive naturals, for example, 52423 + ... + 53790.

Almost surely, 2^72649692 is an apocalyptic number.

It is an amenable number.

72649692 is an abundant number, since it is smaller than the sum of its proper divisors (120659788).

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

72649692 is a wasteful number, since it uses less digits than its factorization.

72649692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106242 (or 106237 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 72649692 is about 8523.4788672232. The cubic root of 72649692 is about 417.2643287280.

The spelling of 72649692 in words is "seventy-two million, six hundred forty-nine thousand, six hundred ninety-two".