72291480 has 64 divisors (see below), whose sum is σ = 229638240. Its totient is φ = 18143232.

The previous prime is 72291469. The next prime is 72291493. The reversal of 72291480 is 8419227.

It is a happy number.

It is a super-3 number, since 3×72291480³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15679 + ... + 19758.

Almost surely, 2^72291480 is an apocalyptic number.

It is an amenable number.

72291480 is an abundant number, since it is smaller than the sum of its proper divisors (157346760).

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

72291480 is a wasteful number, since it uses less digits than its factorization.

72291480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35468 (or 35464 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 72291480 is about 8502.4396498887. The cubic root of 72291480 is about 416.5774002548.

It can be divided in two parts, 72291 and 480, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 72291480 in words is "seventy-two million, two hundred ninety-one thousand, four hundred eighty".