72378072 has 96 divisors (see below), whose sum is σ = 215233200. Its totient is φ = 21835008.

The previous prime is 72378067. The next prime is 72378077. The reversal of 72378072 is 27087327.

It is an interprime number because it is at equal distance from previous prime (72378067) and next prime (72378077).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72378077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48879 + ... + 50337.

Almost surely, 2^72378072 is an apocalyptic number.

72378072 is a gapful number since it is divisible by the number (72) 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 72378072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107616600).

72378072 is an abundant number, since it is smaller than the sum of its proper divisors (142855128).

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

72378072 is a wasteful number, since it uses less digits than its factorization.

72378072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 72378072 is about 8507.5303114359. The cubic root of 72378072 is about 416.7436617891.

The spelling of 72378072 in words is "seventy-two million, three hundred seventy-eight thousand, seventy-two".