72049428 has 36 divisors (see below), whose sum is σ = 198682848. Its totient is φ = 21833040.

The previous prime is 72049421. The next prime is 72049429. The reversal of 72049428 is 82494027.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×72049428² = 10382240150254368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72049392 and 72049401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72049421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90576 + ... + 91367.

It is an arithmetic number, because the mean of its divisors is an integer number (5518968).

Almost surely, 2^72049428 is an apocalyptic number.

It is an amenable number.

72049428 is an abundant number, since it is smaller than the sum of its proper divisors (126633420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72049428 is a wasteful number, since it uses less digits than its factorization.

72049428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181964 (or 181959 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72049428 is about 8488.1934473715. The cubic root of 72049428 is about 416.1119413371. Note that the first 3 decimals are identical.

The spelling of 72049428 in words is "seventy-two million, forty-nine thousand, four hundred twenty-eight".