72355440 has 80 divisors (see below), whose sum is σ = 226556928. Its totient is φ = 19100928.

The previous prime is 72355427. The next prime is 72355453. The reversal of 72355440 is 4455327.

It is an interprime number because it is at equal distance from previous prime (72355427) and next prime (72355453).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72355398 and 72355407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23257 + ... + 26183.

Almost surely, 2^72355440 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 72355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113278464).

72355440 is an abundant number, since it is smaller than the sum of its proper divisors (154201488).

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

72355440 is a wasteful number, since it uses less digits than its factorization.

72355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 72355440 is about 8506.2000916978. The cubic root of 72355440 is about 416.7002198757.

The spelling of 72355440 in words is "seventy-two million, three hundred fifty-five thousand, four hundred forty".