72841284 has 18 divisors (see below), whose sum is σ = 184126670. Its totient is φ = 24280416.

The previous prime is 72841273. The next prime is 72841303. The reversal of 72841284 is 48214827.

It can be written as a sum of positive squares in only one way, i.e., 55800900 + 17040384 = 7470^2 + 4128^2 .

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: 2023369 = 72841284 / (7 + 2 + 8 + 4 + 1 + 2 + 8 + 4).

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, 1011649 + ... + 1011720.

Almost surely, 2^72841284 is an apocalyptic number.

It is an amenable number.

72841284 is an abundant number, since it is smaller than the sum of its proper divisors (111285386).

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

72841284 is a wasteful number, since it uses less digits than its factorization.

72841284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023379 (or 2023374 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 72841284 is about 8534.7105399070. The cubic root of 72841284 is about 417.6308103616.

The spelling of 72841284 in words is "seventy-two million, eight hundred forty-one thousand, two hundred eighty-four".