72049978 has 128 divisors (see below), whose sum is σ = 161118720. Its totient is φ = 23224320.

The previous prime is 72049973. The next prime is 72049987. The reversal of 72049978 is 87994027.

It is not an unprimeable number, because it can be changed into a prime (72049973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986950 + ... + 987022.

It is an arithmetic number, because the mean of its divisors is an integer number (1258740).

Almost surely, 2^72049978 is an apocalyptic number.

72049978 is an abundant number, since it is smaller than the sum of its proper divisors (89068742).

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

72049978 is a wasteful number, since it uses less digits than its factorization.

72049978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 72049978 is about 8488.2258452518. The cubic root of 72049978 is about 416.1130001518.

Subtracting 72049978 from its reverse (87994027), we obtain a square (15944049 = 3993²).

The spelling of 72049978 in words is "seventy-two million, forty-nine thousand, nine hundred seventy-eight".