72291737 has 16 divisors (see below), whose sum is σ = 86575872. Its totient is φ = 59019840.

The previous prime is 72291731. The next prime is 72291757. The reversal of 72291737 is 73719227.

It is not a de Polignac number, because 72291737 - 2¹² = 72287641 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72291737.

It is not an unprimeable number, because it can be changed into a prime (72291731) 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 15 ways as a sum of consecutive naturals, for example, 43787 + ... + 45407.

It is an arithmetic number, because the mean of its divisors is an integer number (5410992).

Almost surely, 2^72291737 is an apocalyptic number.

It is an amenable number.

72291737 is a deficient number, since it is larger than the sum of its proper divisors (14284135).

72291737 is a wasteful number, since it uses less digits than its factorization.

72291737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928.

The product of its digits is 37044, while the sum is 38.

The square root of 72291737 is about 8502.4547631846. The cubic root of 72291737 is about 416.5778939057.

The spelling of 72291737 in words is "seventy-two million, two hundred ninety-one thousand, seven hundred thirty-seven".