72378109440 has 1280 divisors, whose sum is σ = 326019133440. Its totient is φ = 14810480640.

The previous prime is 72378109411. The next prime is 72378109457. The reversal of 72378109440 is 4490187327.

72378109440 is a `hidden beast` number, since 72 + 37 + 8 + 109 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×72378109440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232726885 + ... + 232727195.

It is an arithmetic number, because the mean of its divisors is an integer number (254702448).

Almost surely, 2^72378109440 is an apocalyptic number.

72378109440 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 72378109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163009566720).

72378109440 is an abundant number, since it is smaller than the sum of its proper divisors (253641024000).

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

72378109440 is a wasteful number, since it uses less digits than its factorization.

72378109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72378109440 in words is "seventy-two billion, three hundred seventy-eight million, one hundred nine thousand, four hundred forty".