72919840 has 144 divisors (see below), whose sum is σ = 204773184. Its totient is φ = 24460800.

The previous prime is 72919837. The next prime is 72919841. The reversal of 72919840 is 4891927.

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 = 72919793 and 72919802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72919841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556575 + ... + 556705.

It is an arithmetic number, because the mean of its divisors is an integer number (1422036).

Almost surely, 2^72919840 is an apocalyptic number.

72919840 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 72919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102386592).

72919840 is an abundant number, since it is smaller than the sum of its proper divisors (131853344).

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

72919840 is a wasteful number, since it uses less digits than its factorization.

72919840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 72919840 is about 8539.3114476520. The cubic root of 72919840 is about 417.7808883460.

The spelling of 72919840 in words is "seventy-two million, nine hundred nineteen thousand, eight hundred forty".