72991854 has 56 divisors (see below), whose sum is σ = 176829912. Its totient is φ = 22453200.

The previous prime is 72991843. The next prime is 72991873. The reversal of 72991854 is 45819927.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 17029 + ... + 20879.

It is an arithmetic number, because the mean of its divisors is an integer number (3157677).

Almost surely, 2^72991854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72991854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88414956).

72991854 is an abundant number, since it is smaller than the sum of its proper divisors (103838058).

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

72991854 is a wasteful number, since it uses less digits than its factorization.

72991854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3869 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 72991854 is about 8543.5270234254. The cubic root of 72991854 is about 417.9183734447.

The spelling of 72991854 in words is "seventy-two million, nine hundred ninety-one thousand, eight hundred fifty-four".