72015480 has 192 divisors, whose sum is σ = 251596800. Its totient is φ = 18506880.

The previous prime is 72015479. The next prime is 72015481. The reversal of 72015480 is 8451027.

It is an interprime number because it is at equal distance from previous prime (72015479) and next prime (72015481).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72015481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301201 + ... + 301439.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^72015480 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 72015480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

72015480 is an abundant number, since it is smaller than the sum of its proper divisors (179581320).

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

72015480 is a wasteful number, since it uses less digits than its factorization.

72015480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72015480 is about 8486.1934929626. The cubic root of 72015480 is about 416.0465770087.

The spelling of 72015480 in words is "seventy-two million, fifteen thousand, four hundred eighty".