72921114 has 128 divisors (see below), whose sum is σ = 196608000. Its totient is φ = 20003760.

The previous prime is 72921073. The next prime is 72921119. The reversal of 72921114 is 41112927.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72921119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574119 + ... + 574245.

It is an arithmetic number, because the mean of its divisors is an integer number (1536000).

Almost surely, 2^72921114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72921114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98304000).

72921114 is an abundant number, since it is smaller than the sum of its proper divisors (123686886).

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

72921114 is a wasteful number, since it uses less digits than its factorization.

72921114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 72921114 is about 8539.3860435045. The cubic root of 72921114 is about 417.7833213818.

The spelling of 72921114 in words is "seventy-two million, nine hundred twenty-one thousand, one hundred fourteen".