72953931 has 8 divisors (see below), whose sum is σ = 97690320. Its totient is φ = 48426752.

The previous prime is 72953897. The next prime is 72953957. The reversal of 72953931 is 13935927.

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 72953931 - 2²³ = 64565323 is a prime.

It is a super-2 number, since 2×72953931² = 10644552096705522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72953931.

It is not an unprimeable number, because it can be changed into a prime (72953971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51486 + ... + 52883.

It is an arithmetic number, because the mean of its divisors is an integer number (12211290).

Almost surely, 2^72953931 is an apocalyptic number.

72953931 is a deficient number, since it is larger than the sum of its proper divisors (24736389).

72953931 is a wasteful number, since it uses less digits than its factorization.

72953931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104605.

The product of its digits is 51030, while the sum is 39.

The square root of 72953931 is about 8541.3073355313. The cubic root of 72953931 is about 417.8459842527.

The spelling of 72953931 in words is "seventy-two million, nine hundred fifty-three thousand, nine hundred thirty-one".