72842627 has 8 divisors (see below), whose sum is σ = 85577520. Its totient is φ = 61126560.

The previous prime is 72842611. The next prime is 72842641. The reversal of 72842627 is 72624827.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72842627 - 2⁴ = 72842611 is a prime.

It is a super-2 number, since 2×72842627² = 10612096616522258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72842647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254552 + ... + 254837.

It is an arithmetic number, because the mean of its divisors is an integer number (10697190).

Almost surely, 2^72842627 is an apocalyptic number.

72842627 is a deficient number, since it is larger than the sum of its proper divisors (12734893).

72842627 is a wasteful number, since it uses less digits than its factorization.

72842627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509413.

The product of its digits is 75264, while the sum is 38.

The square root of 72842627 is about 8534.7892182526. The cubic root of 72842627 is about 417.6333770139.

The spelling of 72842627 in words is "seventy-two million, eight hundred forty-two thousand, six hundred twenty-seven".