72814068 has 18 divisors (see below), whose sum is σ = 184057874. Its totient is φ = 24271344.

The previous prime is 72814057. The next prime is 72814081. The reversal of 72814068 is 86041827.

It can be written as a sum of positive squares in only one way, i.e., 72795024 + 19044 = 8532^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2022613 = 72814068 / (7 + 2 + 8 + 1 + 4 + 0 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1011271 + ... + 1011342.

Almost surely, 2^72814068 is an apocalyptic number.

It is an amenable number.

72814068 is an abundant number, since it is smaller than the sum of its proper divisors (111243806).

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

72814068 is a wasteful number, since it uses less digits than its factorization.

72814068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022623 (or 2022618 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72814068 is about 8533.1159607731. The cubic root of 72814068 is about 417.5787901546.

The spelling of 72814068 in words is "seventy-two million, eight hundred fourteen thousand, sixty-eight".