72061301 has 8 divisors (see below), whose sum is σ = 77799960. Its totient is φ = 66350592.

The previous prime is 72061261. The next prime is 72061303. The reversal of 72061301 is 10316027.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22372900 + 49688401 = 4730^2 + 7049^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 72061301 - 2¹⁰ = 72060277 is a prime.

It is a super-2 number, since 2×72061301² = 10385662203625202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72061303) 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, 1460 + ... + 12093.

It is an arithmetic number, because the mean of its divisors is an integer number (9724995).

Almost surely, 2^72061301 is an apocalyptic number.

It is an amenable number.

72061301 is a deficient number, since it is larger than the sum of its proper divisors (5738659).

72061301 is a wasteful number, since it uses less digits than its factorization.

72061301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13975.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 72061301 is about 8488.8928017734. The cubic root of 72061301 is about 416.1347970620.

Adding to 72061301 its reverse (10316027), we get a palindrome (82377328).

The spelling of 72061301 in words is "seventy-two million, sixty-one thousand, three hundred one".