72954882 has 96 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 17487360.

The previous prime is 72954877. The next prime is 72954883. The reversal of 72954882 is 28845927.

72954882 is a `hidden beast` number, since 7 + 29 + 548 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (72954883) 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, 15994 + ... + 20042.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^72954882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72954882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

72954882 is an abundant number, since it is smaller than the sum of its proper divisors (139329918).

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

72954882 is a wasteful number, since it uses less digits than its factorization.

72954882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4085 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 72954882 is about 8541.3630059845. The cubic root of 72954882 is about 417.8477998725.

It can be divided in two parts, 729 and 54882, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 72954882 in words is "seventy-two million, nine hundred fifty-four thousand, eight hundred eighty-two".