72011919 has 72 divisors (see below), whose sum is σ = 125089920. Its totient is φ = 36656928.

The previous prime is 72011917. The next prime is 72011923. The reversal of 72011919 is 91911027.

It is not a de Polignac number, because 72011919 - 2¹ = 72011917 is a prime.

It is a super-2 number, since 2×72011919² = 10371432956125122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72011917) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1220512 + ... + 1220570.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^72011919 is an apocalyptic number.

72011919 is a deficient number, since it is larger than the sum of its proper divisors (53078001).

72011919 is a wasteful number, since it uses less digits than its factorization.

72011919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 72011919 is about 8485.9836789850. The cubic root of 72011919 is about 416.0397193800.

The spelling of 72011919 in words is "seventy-two million, eleven thousand, nine hundred nineteen".