72146268 has 48 divisors (see below), whose sum is σ = 196896000. Its totient is φ = 22782384.

The previous prime is 72146267. The next prime is 72146279. The reversal of 72146268 is 86264127.

72146268 is a `hidden beast` number, since 7 + 21 + 4 + 626 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72146267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15528 + ... + 19631.

It is an arithmetic number, because the mean of its divisors is an integer number (4102000).

Almost surely, 2^72146268 is an apocalyptic number.

It is an amenable number.

72146268 is an abundant number, since it is smaller than the sum of its proper divisors (124749732).

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

72146268 is a wasteful number, since it uses less digits than its factorization.

72146268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35191 (or 35183 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72146268 is about 8493.8959258988. The cubic root of 72146268 is about 416.2982867447.

The spelling of 72146268 in words is "seventy-two million, one hundred forty-six thousand, two hundred sixty-eight".