72378460 has 96 divisors (see below), whose sum is σ = 194084352. Its totient is φ = 22014720.

The previous prime is 72378437. The next prime is 72378463. The reversal of 72378460 is 6487327.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72378463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65674 + ... + 66766.

It is an arithmetic number, because the mean of its divisors is an integer number (2021712).

Almost surely, 2^72378460 is an apocalyptic number.

72378460 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 72378460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97042176).

72378460 is an abundant number, since it is smaller than the sum of its proper divisors (121705892).

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

72378460 is a wasteful number, since it uses less digits than its factorization.

72378460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 72378460 is about 8507.5531147328. The cubic root of 72378460 is about 416.7444064725.

The spelling of 72378460 in words is "seventy-two million, three hundred seventy-eight thousand, four hundred sixty".