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372042072 = 2334896451
BaseRepresentation
bin10110001011001…
…110100101011000
3221221001200210000
4112023032211120
51230220321242
6100530053000
712135206523
oct2613164530
9857050700
10372042072
1118100a796
12a471a160
135c102c4c
14375a7bba
15229dea4c
hex162ce958

372042072 has 80 divisors (see below), whose sum is σ = 1053934200. Its totient is φ = 122601600.

The previous prime is 372042071. The next prime is 372042101. The reversal of 372042072 is 270240273.

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 (372042071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54447 + ... + 60897.

Almost surely, 2372042072 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 372042072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526967100).

372042072 is an abundant number, since it is smaller than the sum of its proper divisors (681892128).

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

372042072 is a wasteful number, since it uses less digits than its factorization.

372042072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 372042072 is about 19288.3921569425. The cubic root of 372042072 is about 719.2237467325.

The spelling of 372042072 in words is "three hundred seventy-two million, forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 267 324 356 534 648 712 801 1068 1602 2136 2403 3204 4806 6408 6451 7209 9612 12902 14418 19224 19353 25804 28836 38706 51608 57672 58059 77412 116118 154824 174177 232236 348354 464472 522531 574139 696708 1045062 1148278 1393416 1722417 2090124 2296556 3444834 4180248 4593112 5167251 6889668 10334502 13779336 15501753 20669004 31003506 41338008 46505259 62007012 93010518 124014024 186021036 372042072