72150829 has 2 divisors, whose sum is σ = 72150830. Its totient is φ = 72150828.

The previous prime is 72150803. The next prime is 72150853. The reversal of 72150829 is 92805127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58446025 + 13704804 = 7645^2 + 3702^2 .

It is a cyclic number.

It is not a de Polignac number, because 72150829 - 2¹⁵ = 72118061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72150794 and 72150803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72150889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36075414 + 36075415.

It is an arithmetic number, because the mean of its divisors is an integer number (36075415).

Almost surely, 2^72150829 is an apocalyptic number.

It is an amenable number.

72150829 is a deficient number, since it is larger than the sum of its proper divisors (1).

72150829 is an equidigital number, since it uses as much as digits as its factorization.

72150829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 72150829 is about 8494.1644085808. The cubic root of 72150829 is about 416.3070591850.

The spelling of 72150829 in words is "seventy-two million, one hundred fifty thousand, eight hundred twenty-nine".