72049128 has 32 divisors (see below), whose sum is σ = 190719360. Its totient is φ = 22603520.

The previous prime is 72049127. The next prime is 72049151. The reversal of 72049128 is 82194027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72049127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87888 + ... + 88703.

It is an arithmetic number, because the mean of its divisors is an integer number (5959980).

Almost surely, 2^72049128 is an apocalyptic number.

It is an amenable number.

72049128 is an abundant number, since it is smaller than the sum of its proper divisors (118670232).

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

72049128 is a wasteful number, since it uses less digits than its factorization.

72049128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176617 (or 176613 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 72049128 is about 8488.1757757483. The cubic root of 72049128 is about 416.1113637995. Note that the first 3 decimals are identical.

The spelling of 72049128 in words is "seventy-two million, forty-nine thousand, one hundred twenty-eight".