72291312 has 40 divisors (see below), whose sum is σ = 207504080. Its totient is φ = 24096960.

The previous prime is 72291301. The next prime is 72291313. The reversal of 72291312 is 21319227.

It is a super-3 number, since 3×72291312³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72291313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 83239 + ... + 84102.

It is an arithmetic number, because the mean of its divisors is an integer number (5187602).

Almost surely, 2^72291312 is an apocalyptic number.

72291312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72291312 is an abundant number, since it is smaller than the sum of its proper divisors (135212768).

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

72291312 is a wasteful number, since it uses less digits than its factorization.

72291312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167358 (or 167346 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 72291312 is about 8502.4297703656. The cubic root of 72291312 is about 416.5770775563.

The spelling of 72291312 in words is "seventy-two million, two hundred ninety-one thousand, three hundred twelve".