72951007 has 8 divisors (see below), whose sum is σ = 74201600. Its totient is φ = 71705304.

The previous prime is 72950989. The next prime is 72951019. The reversal of 72951007 is 70015927.

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 72951007 - 2¹¹ = 72948959 is a prime.

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 72951007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72951077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40594 + ... + 42352.

It is an arithmetic number, because the mean of its divisors is an integer number (9275200).

Almost surely, 2^72951007 is an apocalyptic number.

72951007 is a deficient number, since it is larger than the sum of its proper divisors (1250593).

72951007 is a wasteful number, since it uses less digits than its factorization.

72951007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445.

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 72951007 is about 8541.1361656398. The cubic root of 72951007 is about 417.8404017435.

The spelling of 72951007 in words is "seventy-two million, nine hundred fifty-one thousand, seven".