72964061 has 8 divisors (see below), whose sum is σ = 74338560. Its totient is φ = 71594272.

The previous prime is 72964043. The next prime is 72964063. The reversal of 72964061 is 16046927.

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 72964061 - 2¹⁸ = 72701917 is a prime.

It is a super-2 number, since 2×72964061² = 10647508395223442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72964063) 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, 50201 + ... + 51633.

It is an arithmetic number, because the mean of its divisors is an integer number (9292320).

Almost surely, 2^72964061 is an apocalyptic number.

It is an amenable number.

72964061 is a deficient number, since it is larger than the sum of its proper divisors (1374499).

72964061 is a wasteful number, since it uses less digits than its factorization.

72964061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 72964061 is about 8541.9003155036. The cubic root of 72964061 is about 417.8653233245.

The spelling of 72964061 in words is "seventy-two million, nine hundred sixty-four thousand, sixty-one".