72862272 has 168 divisors, whose sum is σ = 252959616. Its totient is φ = 19574784.

The previous prime is 72862261. The next prime is 72862277. The reversal of 72862272 is 27226827.

72862272 is a `hidden beast` number, since 7 + 28 + 622 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72862277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68013 + ... + 69075.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 2^72862272 is an apocalyptic number.

72862272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808).

72862272 is an abundant number, since it is smaller than the sum of its proper divisors (180097344).

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

72862272 is a wasteful number, since it uses less digits than its factorization.

72862272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 72862272 is about 8535.9400185334. The cubic root of 72862272 is about 417.6709176252.

The spelling of 72862272 in words is "seventy-two million, eight hundred sixty-two thousand, two hundred seventy-two".