72801919 has 16 divisors (see below), whose sum is σ = 79441920. Its totient is φ = 66538080.

The previous prime is 72801899. The next prime is 72801943. The reversal of 72801919 is 91910827.

It is a cyclic number.

It is not a de Polignac number, because 72801919 - 2⁵ = 72801887 is a prime.

It is a super-2 number, since 2×72801919² = 10600238820165122, 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 (72801979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41392 + ... + 43114.

It is an arithmetic number, because the mean of its divisors is an integer number (4965120).

Almost surely, 2^72801919 is an apocalyptic number.

72801919 is a deficient number, since it is larger than the sum of its proper divisors (6640001).

72801919 is a wasteful number, since it uses less digits than its factorization.

72801919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830.

The product of its (nonzero) digits is 9072, while the sum is 37.

The square root of 72801919 is about 8532.4040574741. The cubic root of 72801919 is about 417.5555645745. Note that the first 4 decimals are identical.

The spelling of 72801919 in words is "seventy-two million, eight hundred one thousand, nine hundred nineteen".