72548140 has 96 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 23649024.

The previous prime is 72548107. The next prime is 72548167. The reversal of 72548140 is 4184527.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434337 + ... + 434503.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^72548140 is an apocalyptic number.

72548140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72548140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

72548140 is an abundant number, since it is smaller than the sum of its proper divisors (110343380).

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

72548140 is a wasteful number, since it uses less digits than its factorization.

72548140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 72548140 is about 8517.5195919939. The cubic root of 72548140 is about 417.0698163807.

The spelling of 72548140 in words is "seventy-two million, five hundred forty-eight thousand, one hundred forty".