72689120 has 48 divisors (see below), whose sum is σ = 196263648. Its totient is φ = 24921600.

The previous prime is 72689107. The next prime is 72689137. The reversal of 72689120 is 2198627.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31331 + ... + 33570.

It is an arithmetic number, because the mean of its divisors is an integer number (4088826).

Almost surely, 2^72689120 is an apocalyptic number.

72689120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72689120 is an abundant number, since it is smaller than the sum of its proper divisors (123574528).

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

72689120 is a wasteful number, since it uses less digits than its factorization.

72689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64923 (or 64915 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 72689120 is about 8525.7914588618. The cubic root of 72689120 is about 417.3398001314.

The spelling of 72689120 in words is "seventy-two million, six hundred eighty-nine thousand, one hundred twenty".