72379840 has 112 divisors (see below), whose sum is σ = 188439552. Its totient is φ = 26320896.

The previous prime is 72379837. The next prime is 72379841. The reversal of 72379840 is 4897327.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 72379793 and 72379802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72379841) 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, 528252 + ... + 528388.

It is an arithmetic number, because the mean of its divisors is an integer number (1682496).

Almost surely, 2^72379840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94219776).

72379840 is an abundant number, since it is smaller than the sum of its proper divisors (116059712).

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

72379840 is a wasteful number, since it uses less digits than its factorization.

72379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 72379840 is about 8507.6342187473. The cubic root of 72379840 is about 416.7470550673.

The spelling of 72379840 in words is "seventy-two million, three hundred seventy-nine thousand, eight hundred forty".