72407467006032 has 20 divisors (see below), whose sum is σ = 187052623099040. Its totient is φ = 24135822335328.

The previous prime is 72407467006027. The next prime is 72407467006073. The reversal of 72407467006032 is 23060076470427.

It is a super-2 number, since 2×72407467006032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1508488895959 = 72407467006032 / (7 + 2 + 4 + 0 + 7 + 4 + 6 + 7 + 0 + 0 + 6 + 0 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 754244447932 + ... + 754244448027.

It is an arithmetic number, because the mean of its divisors is an integer number (9352631154952).

Almost surely, 2^{72407467006032} is an apocalyptic number.

It is an amenable number.

72407467006032 is an abundant number, since it is smaller than the sum of its proper divisors (114645156093008).

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

72407467006032 is a wasteful number, since it uses less digits than its factorization.

72407467006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508488895970 (or 1508488895964 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 72407467006032 in words is "seventy-two trillion, four hundred seven billion, four hundred sixty-seven million, six thousand, thirty-two".