72951291 has 24 divisors (see below), whose sum is σ = 120687840. Its totient is φ = 41596416.

The previous prime is 72951289. The next prime is 72951311. The reversal of 72951291 is 19215927.

It is not a de Polignac number, because 72951291 - 2¹ = 72951289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72951251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37675 + ... + 39563.

It is an arithmetic number, because the mean of its divisors is an integer number (5028660).

Almost surely, 2^72951291 is an apocalyptic number.

72951291 is a deficient number, since it is larger than the sum of its proper divisors (47736549).

72951291 is a wasteful number, since it uses less digits than its factorization.

72951291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2512 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 72951291 is about 8541.1527910464. The cubic root of 72951291 is about 417.8409439636.

The spelling of 72951291 in words is "seventy-two million, nine hundred fifty-one thousand, two hundred ninety-one".