72801687 has 32 divisors (see below), whose sum is σ = 115591680. Its totient is φ = 39876480.

The previous prime is 72801683. The next prime is 72801689. The reversal of 72801687 is 78610827.

It is not a de Polignac number, because 72801687 - 2² = 72801683 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72801683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105012 + ... + 105702.

It is an arithmetic number, because the mean of its divisors is an integer number (3612240).

Almost surely, 2^72801687 is an apocalyptic number.

72801687 is a deficient number, since it is larger than the sum of its proper divisors (42789993).

72801687 is a wasteful number, since it uses less digits than its factorization.

72801687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 72801687 is about 8532.3904622327. The cubic root of 72801687 is about 417.5551210285. Note that the first 3 decimals are identical.

The spelling of 72801687 in words is "seventy-two million, eight hundred one thousand, six hundred eighty-seven".