72960054 has 16 divisors (see below), whose sum is σ = 146012160. Its totient is φ = 24304680.

The previous prime is 72960053. The next prime is 72960059. The reversal of 72960054 is 45006927.

It is a junction number, because it is equal to n+sod(n) for n = 72959997 and 72960024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72960053) 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 7 ways as a sum of consecutive naturals, for example, 10719 + ... + 16149.

It is an arithmetic number, because the mean of its divisors is an integer number (9125760).

Almost surely, 2^72960054 is an apocalyptic number.

72960054 is an abundant number, since it is smaller than the sum of its proper divisors (73052106).

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

72960054 is a wasteful number, since it uses less digits than its factorization.

72960054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72960054 is about 8541.6657626016. The cubic root of 72960054 is about 417.8576738188.

The spelling of 72960054 in words is "seventy-two million, nine hundred sixty thousand, fifty-four".