372006432 has 360 divisors, whose sum is σ = 1329603660. Its totient is φ = 101606400.

The previous prime is 372006431. The next prime is 372006433. The reversal of 372006432 is 234600273.

It is an interprime number because it is at equal distance from previous prime (372006431) and next prime (372006433).

It can be written as a sum of positive squares in 2 ways, for example, as 338412816 + 33593616 = 18396^2 + 5796^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 372006396 and 372006405.

It is not an unprimeable number, because it can be changed into a prime (372006431) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3683182 + ... + 3683282.

Almost surely, 2^372006432 is an apocalyptic number.

372006432 is a gapful number since it is divisible by the number (32) 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 372006432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664801830).

372006432 is an abundant number, since it is smaller than the sum of its proper divisors (957597228).

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

372006432 is a wasteful number, since it uses less digits than its factorization.

372006432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 372006432 is about 19287.4682630977. The cubic root of 372006432 is about 719.2007798382.

The spelling of 372006432 in words is "three hundred seventy-two million, six thousand, four hundred thirty-two".