72291101 has 8 divisors (see below), whose sum is σ = 74959104. Its totient is φ = 69644160.

The previous prime is 72291071. The next prime is 72291137. The reversal of 72291101 is 10119227.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72291101 is a prime.

It is a super-4 number, since 4×72291101⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72291151) 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, 1901 + ... + 12173.

It is an arithmetic number, because the mean of its divisors is an integer number (9369888).

Almost surely, 2^72291101 is an apocalyptic number.

It is an amenable number.

72291101 is a deficient number, since it is larger than the sum of its proper divisors (2668003).

72291101 is a wasteful number, since it uses less digits than its factorization.

72291101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531.

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 72291101 is about 8502.4173621388. The cubic root of 72291101 is about 416.5766722616.

The spelling of 72291101 in words is "seventy-two million, two hundred ninety-one thousand, one hundred one".