72350817 has 16 divisors (see below), whose sum is σ = 120271872. Its totient is φ = 37584720.

The previous prime is 72350809. The next prime is 72350843. The reversal of 72350817 is 71805327.

It is not a de Polignac number, because 72350817 - 2³ = 72350809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72350857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156373 + ... + 156834.

It is an arithmetic number, because the mean of its divisors is an integer number (7516992).

Almost surely, 2^72350817 is an apocalyptic number.

72350817 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72350817 is a deficient number, since it is larger than the sum of its proper divisors (47921055).

72350817 is a wasteful number, since it uses less digits than its factorization.

72350817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313228.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 72350817 is about 8505.9283443960. The cubic root of 72350817 is about 416.6913449561.

Subtracting from 72350817 its reverse (71805327), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 72350817 in words is "seventy-two million, three hundred fifty thousand, eight hundred seventeen".