72052119 has 16 divisors (see below), whose sum is σ = 106877440. Its totient is φ = 47974680.

The previous prime is 72052117. The next prime is 72052139. The reversal of 72052119 is 91125027.

It is not a de Polignac number, because 72052119 - 2¹ = 72052117 is a prime.

It is a super-2 number, since 2×72052119² = 10383015704780322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72052092 and 72052101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72052117) 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, 34824 + ... + 36834.

It is an arithmetic number, because the mean of its divisors is an integer number (6679840).

Almost surely, 2^72052119 is an apocalyptic number.

72052119 is a deficient number, since it is larger than the sum of its proper divisors (34825321).

72052119 is a wasteful number, since it uses less digits than its factorization.

72052119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 72052119 is about 8488.3519601864. The cubic root of 72052119 is about 416.1171217774.

The spelling of 72052119 in words is "seventy-two million, fifty-two thousand, one hundred nineteen".